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Finding the Fourth Proportional to 8,510.50, 12,756.61 and 4,118.28

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Solution

The fourth proportional to 8,510.50, 12,756.61 and 4,118.28 is: 6,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.50 : 12,756.61 = 4,118.28 : x
  2. Step 2: Convert to fraction form
    8,510.50/12,756.61 = 4,118.28/x
  3. Step 3: Cross multiply
    8,510.50x = 12,756.61 × 4,118.28
  4. Step 4: Simplify right side
    8,510.50x = 52,535,291.83
  5. Step 5: Solve for x
    x = 52,535,291.83/8,510.50
  6. Step 6: Final answer
    x = 6,173.00

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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.