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Finding the Fourth Proportional to 7,732.98, 10,677.06 and 4,752.81

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Solution

The fourth proportional to 7,732.98, 10,677.06 and 4,752.81 is: 6,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.98 : 10,677.06 = 4,752.81 : x
  2. Step 2: Convert to fraction form
    7,732.98/10,677.06 = 4,752.81/x
  3. Step 3: Cross multiply
    7,732.98x = 10,677.06 × 4,752.81
  4. Step 4: Simplify right side
    7,732.98x = 50,746,037.54
  5. Step 5: Solve for x
    x = 50,746,037.54/7,732.98
  6. Step 6: Final answer
    x = 6,562.29

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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.