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Finding the Fourth Proportional to 7,639.65, 10,542.83 and 4,655.61

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Solution

The fourth proportional to 7,639.65, 10,542.83 and 4,655.61 is: 6,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.65 : 10,542.83 = 4,655.61 : x
  2. Step 2: Convert to fraction form
    7,639.65/10,542.83 = 4,655.61/x
  3. Step 3: Cross multiply
    7,639.65x = 10,542.83 × 4,655.61
  4. Step 4: Simplify right side
    7,639.65x = 49,083,281.50
  5. Step 5: Solve for x
    x = 49,083,281.50/7,639.65
  6. Step 6: Final answer
    x = 6,424.81

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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.