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Finding the Fourth Proportional to 10,715.72, 16,064.91 and 4,480.52

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Solution

The fourth proportional to 10,715.72, 16,064.91 and 4,480.52 is: 6,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.72 : 16,064.91 = 4,480.52 : x
  2. Step 2: Convert to fraction form
    10,715.72/16,064.91 = 4,480.52/x
  3. Step 3: Cross multiply
    10,715.72x = 16,064.91 × 4,480.52
  4. Step 4: Simplify right side
    10,715.72x = 71,979,070.23
  5. Step 5: Solve for x
    x = 71,979,070.23/10,715.72
  6. Step 6: Final answer
    x = 6,717.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.