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Finding the Fourth Proportional to 10,001.44, 13,803.16 and 6,024.56

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Solution

The fourth proportional to 10,001.44, 13,803.16 and 6,024.56 is: 8,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.44 : 13,803.16 = 6,024.56 : x
  2. Step 2: Convert to fraction form
    10,001.44/13,803.16 = 6,024.56/x
  3. Step 3: Cross multiply
    10,001.44x = 13,803.16 × 6,024.56
  4. Step 4: Simplify right side
    10,001.44x = 83,157,965.61
  5. Step 5: Solve for x
    x = 83,157,965.61/10,001.44
  6. Step 6: Final answer
    x = 8,314.60

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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.