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Finding the Fourth Proportional to 7,078.38, 10,614.48 and 3,566.16

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Solution

The fourth proportional to 7,078.38, 10,614.48 and 3,566.16 is: 5,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.38 : 10,614.48 = 3,566.16 : x
  2. Step 2: Convert to fraction form
    7,078.38/10,614.48 = 3,566.16/x
  3. Step 3: Cross multiply
    7,078.38x = 10,614.48 × 3,566.16
  4. Step 4: Simplify right side
    7,078.38x = 37,852,934.00
  5. Step 5: Solve for x
    x = 37,852,934.00/7,078.38
  6. Step 6: Final answer
    x = 5,347.68

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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.