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Finding the Fourth Proportional to 10,522.86, 15,784.13 and 6,087.20

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Solution

The fourth proportional to 10,522.86, 15,784.13 and 6,087.20 is: 9,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.86 : 15,784.13 = 6,087.20 : x
  2. Step 2: Convert to fraction form
    10,522.86/15,784.13 = 6,087.20/x
  3. Step 3: Cross multiply
    10,522.86x = 15,784.13 × 6,087.20
  4. Step 4: Simplify right side
    10,522.86x = 96,081,046.78
  5. Step 5: Solve for x
    x = 96,081,046.78/10,522.86
  6. Step 6: Final answer
    x = 9,130.70

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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.