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Finding the Fourth Proportional to 10,484.59, 15,712.90 and 3,904.15

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Solution

The fourth proportional to 10,484.59, 15,712.90 and 3,904.15 is: 5,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.59 : 15,712.90 = 3,904.15 : x
  2. Step 2: Convert to fraction form
    10,484.59/15,712.90 = 3,904.15/x
  3. Step 3: Cross multiply
    10,484.59x = 15,712.90 × 3,904.15
  4. Step 4: Simplify right side
    10,484.59x = 61,345,484.13
  5. Step 5: Solve for x
    x = 61,345,484.13/10,484.59
  6. Step 6: Final answer
    x = 5,851.02

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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.