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Finding the Fourth Proportional to 10,320.74, 15,470.52 and 4,078.22

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Solution

The fourth proportional to 10,320.74, 15,470.52 and 4,078.22 is: 6,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.74 : 15,470.52 = 4,078.22 : x
  2. Step 2: Convert to fraction form
    10,320.74/15,470.52 = 4,078.22/x
  3. Step 3: Cross multiply
    10,320.74x = 15,470.52 × 4,078.22
  4. Step 4: Simplify right side
    10,320.74x = 63,092,184.07
  5. Step 5: Solve for x
    x = 63,092,184.07/10,320.74
  6. Step 6: Final answer
    x = 6,113.15

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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.