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Finding the Fourth Proportional to 10,470.24, 15,698.88 and 5,465.52

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Solution

The fourth proportional to 10,470.24, 15,698.88 and 5,465.52 is: 8,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.24 : 15,698.88 = 5,465.52 : x
  2. Step 2: Convert to fraction form
    10,470.24/15,698.88 = 5,465.52/x
  3. Step 3: Cross multiply
    10,470.24x = 15,698.88 × 5,465.52
  4. Step 4: Simplify right side
    10,470.24x = 85,802,542.62
  5. Step 5: Solve for x
    x = 85,802,542.62/10,470.24
  6. Step 6: Final answer
    x = 8,194.90

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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.