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Finding the Fourth Proportional to 8,062.50, 12,094.56 and 2,870.40

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Solution

The fourth proportional to 8,062.50, 12,094.56 and 2,870.40 is: 4,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.50 : 12,094.56 = 2,870.40 : x
  2. Step 2: Convert to fraction form
    8,062.50/12,094.56 = 2,870.40/x
  3. Step 3: Cross multiply
    8,062.50x = 12,094.56 × 2,870.40
  4. Step 4: Simplify right side
    8,062.50x = 34,716,225.02
  5. Step 5: Solve for x
    x = 34,716,225.02/8,062.50
  6. Step 6: Final answer
    x = 4,305.89

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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.