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Finding the Fourth Proportional to 10,144.59, 14,008.45 and 6,374.30

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Solution

The fourth proportional to 10,144.59, 14,008.45 and 6,374.30 is: 8,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.59 : 14,008.45 = 6,374.30 : x
  2. Step 2: Convert to fraction form
    10,144.59/14,008.45 = 6,374.30/x
  3. Step 3: Cross multiply
    10,144.59x = 14,008.45 × 6,374.30
  4. Step 4: Simplify right side
    10,144.59x = 89,294,062.84
  5. Step 5: Solve for x
    x = 89,294,062.84/10,144.59
  6. Step 6: Final answer
    x = 8,802.14

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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.