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Finding the Fourth Proportional to 10,320.99, 15,470.90 and 4,078.47

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Solution

The fourth proportional to 10,320.99, 15,470.90 and 4,078.47 is: 6,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.99 : 15,470.90 = 4,078.47 : x
  2. Step 2: Convert to fraction form
    10,320.99/15,470.90 = 4,078.47/x
  3. Step 3: Cross multiply
    10,320.99x = 15,470.90 × 4,078.47
  4. Step 4: Simplify right side
    10,320.99x = 63,097,581.13
  5. Step 5: Solve for x
    x = 63,097,581.13/10,320.99
  6. Step 6: Final answer
    x = 6,113.52

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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.