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Finding the Fourth Proportional to 10,424.73, 14,384.74 and 5,948.21

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Solution

The fourth proportional to 10,424.73, 14,384.74 and 5,948.21 is: 8,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.73 : 14,384.74 = 5,948.21 : x
  2. Step 2: Convert to fraction form
    10,424.73/14,384.74 = 5,948.21/x
  3. Step 3: Cross multiply
    10,424.73x = 14,384.74 × 5,948.21
  4. Step 4: Simplify right side
    10,424.73x = 85,563,446.10
  5. Step 5: Solve for x
    x = 85,563,446.10/10,424.73
  6. Step 6: Final answer
    x = 8,207.74

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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.