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Finding the Fourth Proportional to 10,024.47, 13,840.05 and 6,440.88

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Solution

The fourth proportional to 10,024.47, 13,840.05 and 6,440.88 is: 8,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.47 : 13,840.05 = 6,440.88 : x
  2. Step 2: Convert to fraction form
    10,024.47/13,840.05 = 6,440.88/x
  3. Step 3: Cross multiply
    10,024.47x = 13,840.05 × 6,440.88
  4. Step 4: Simplify right side
    10,024.47x = 89,142,101.24
  5. Step 5: Solve for x
    x = 89,142,101.24/10,024.47
  6. Step 6: Final answer
    x = 8,892.45

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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.