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Finding the Fourth Proportional to 10,440.60, 14,407.95 and 5,724.90

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Solution

The fourth proportional to 10,440.60, 14,407.95 and 5,724.90 is: 7,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.60 : 14,407.95 = 5,724.90 : x
  2. Step 2: Convert to fraction form
    10,440.60/14,407.95 = 5,724.90/x
  3. Step 3: Cross multiply
    10,440.60x = 14,407.95 × 5,724.90
  4. Step 4: Simplify right side
    10,440.60x = 82,484,072.96
  5. Step 5: Solve for x
    x = 82,484,072.96/10,440.60
  6. Step 6: Final answer
    x = 7,900.32

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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.