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Finding the Fourth Proportional to 7,083.74, 10,613.81 and 5,000.32

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Solution

The fourth proportional to 7,083.74, 10,613.81 and 5,000.32 is: 7,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.74 : 10,613.81 = 5,000.32 : x
  2. Step 2: Convert to fraction form
    7,083.74/10,613.81 = 5,000.32/x
  3. Step 3: Cross multiply
    7,083.74x = 10,613.81 × 5,000.32
  4. Step 4: Simplify right side
    7,083.74x = 53,072,446.42
  5. Step 5: Solve for x
    x = 53,072,446.42/7,083.74
  6. Step 6: Final answer
    x = 7,492.15

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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.