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Finding the Fourth Proportional to 7,323.40, 10,978.62 and 6,614.92

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Solution

The fourth proportional to 7,323.40, 10,978.62 and 6,614.92 is: 9,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.40 : 10,978.62 = 6,614.92 : x
  2. Step 2: Convert to fraction form
    7,323.40/10,978.62 = 6,614.92/x
  3. Step 3: Cross multiply
    7,323.40x = 10,978.62 × 6,614.92
  4. Step 4: Simplify right side
    7,323.40x = 72,622,693.01
  5. Step 5: Solve for x
    x = 72,622,693.01/7,323.40
  6. Step 6: Final answer
    x = 9,916.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.