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Finding the Fourth Proportional to 10,519.52, 15,774.80 and 4,672.13

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Solution

The fourth proportional to 10,519.52, 15,774.80 and 4,672.13 is: 7,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.52 : 15,774.80 = 4,672.13 : x
  2. Step 2: Convert to fraction form
    10,519.52/15,774.80 = 4,672.13/x
  3. Step 3: Cross multiply
    10,519.52x = 15,774.80 × 4,672.13
  4. Step 4: Simplify right side
    10,519.52x = 73,701,814.09
  5. Step 5: Solve for x
    x = 73,701,814.09/10,519.52
  6. Step 6: Final answer
    x = 7,006.20

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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.