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Finding the Fourth Proportional to 7,732.36, 10,666.68 and 4,894.92

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Solution

The fourth proportional to 7,732.36, 10,666.68 and 4,894.92 is: 6,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.36 : 10,666.68 = 4,894.92 : x
  2. Step 2: Convert to fraction form
    7,732.36/10,666.68 = 4,894.92/x
  3. Step 3: Cross multiply
    7,732.36x = 10,666.68 × 4,894.92
  4. Step 4: Simplify right side
    7,732.36x = 52,212,545.27
  5. Step 5: Solve for x
    x = 52,212,545.27/7,732.36
  6. Step 6: Final answer
    x = 6,752.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.