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Finding the Fourth Proportional to 7,614.20, 11,432.10 and 4,698.20

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Solution

The fourth proportional to 7,614.20, 11,432.10 and 4,698.20 is: 7,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.20 : 11,432.10 = 4,698.20 : x
  2. Step 2: Convert to fraction form
    7,614.20/11,432.10 = 4,698.20/x
  3. Step 3: Cross multiply
    7,614.20x = 11,432.10 × 4,698.20
  4. Step 4: Simplify right side
    7,614.20x = 53,710,292.22
  5. Step 5: Solve for x
    x = 53,710,292.22/7,614.20
  6. Step 6: Final answer
    x = 7,053.96

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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.