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Finding the Fourth Proportional to 8,510.92, 12,764.06 and 5,386.24

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Solution

The fourth proportional to 8,510.92, 12,764.06 and 5,386.24 is: 8,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.92 : 12,764.06 = 5,386.24 : x
  2. Step 2: Convert to fraction form
    8,510.92/12,764.06 = 5,386.24/x
  3. Step 3: Cross multiply
    8,510.92x = 12,764.06 × 5,386.24
  4. Step 4: Simplify right side
    8,510.92x = 68,750,290.53
  5. Step 5: Solve for x
    x = 68,750,290.53/8,510.92
  6. Step 6: Final answer
    x = 8,077.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.