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Finding the Fourth Proportional to 10,470.60, 14,449.08 and 5,754.87

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Solution

The fourth proportional to 10,470.60, 14,449.08 and 5,754.87 is: 7,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.60 : 14,449.08 = 5,754.87 : x
  2. Step 2: Convert to fraction form
    10,470.60/14,449.08 = 5,754.87/x
  3. Step 3: Cross multiply
    10,470.60x = 14,449.08 × 5,754.87
  4. Step 4: Simplify right side
    10,470.60x = 83,152,577.02
  5. Step 5: Solve for x
    x = 83,152,577.02/10,470.60
  6. Step 6: Final answer
    x = 7,941.53

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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.