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Finding the Fourth Proportional to 10,613.84, 15,920.49 and 5,071.10

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Solution

The fourth proportional to 10,613.84, 15,920.49 and 5,071.10 is: 7,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.84 : 15,920.49 = 5,071.10 : x
  2. Step 2: Convert to fraction form
    10,613.84/15,920.49 = 5,071.10/x
  3. Step 3: Cross multiply
    10,613.84x = 15,920.49 × 5,071.10
  4. Step 4: Simplify right side
    10,613.84x = 80,734,396.84
  5. Step 5: Solve for x
    x = 80,734,396.84/10,613.84
  6. Step 6: Final answer
    x = 7,606.52

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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.