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Finding the Fourth Proportional to 10,470.78, 14,448.54 and 5,754.18

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Solution

The fourth proportional to 10,470.78, 14,448.54 and 5,754.18 is: 7,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.78 : 14,448.54 = 5,754.18 : x
  2. Step 2: Convert to fraction form
    10,470.78/14,448.54 = 5,754.18/x
  3. Step 3: Cross multiply
    10,470.78x = 14,448.54 × 5,754.18
  4. Step 4: Simplify right side
    10,470.78x = 83,139,499.90
  5. Step 5: Solve for x
    x = 83,139,499.90/10,470.78
  6. Step 6: Final answer
    x = 7,940.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.