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Finding the Fourth Proportional to 10,088.54, 15,125.97 and 5,154.12

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Solution

The fourth proportional to 10,088.54, 15,125.97 and 5,154.12 is: 7,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.54 : 15,125.97 = 5,154.12 : x
  2. Step 2: Convert to fraction form
    10,088.54/15,125.97 = 5,154.12/x
  3. Step 3: Cross multiply
    10,088.54x = 15,125.97 × 5,154.12
  4. Step 4: Simplify right side
    10,088.54x = 77,961,064.50
  5. Step 5: Solve for x
    x = 77,961,064.50/10,088.54
  6. Step 6: Final answer
    x = 7,727.69

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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.