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Finding the Fourth Proportional to 10,424.66, 14,387.71 and 5,948.60

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Solution

The fourth proportional to 10,424.66, 14,387.71 and 5,948.60 is: 8,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.66 : 14,387.71 = 5,948.60 : x
  2. Step 2: Convert to fraction form
    10,424.66/14,387.71 = 5,948.60/x
  3. Step 3: Cross multiply
    10,424.66x = 14,387.71 × 5,948.60
  4. Step 4: Simplify right side
    10,424.66x = 85,586,731.71
  5. Step 5: Solve for x
    x = 85,586,731.71/10,424.66
  6. Step 6: Final answer
    x = 8,210.03

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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.