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Finding the Fourth Proportional to 8,948.21, 12,349.66 and 5,411.44

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Solution

The fourth proportional to 8,948.21, 12,349.66 and 5,411.44 is: 7,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.21 : 12,349.66 = 5,411.44 : x
  2. Step 2: Convert to fraction form
    8,948.21/12,349.66 = 5,411.44/x
  3. Step 3: Cross multiply
    8,948.21x = 12,349.66 × 5,411.44
  4. Step 4: Simplify right side
    8,948.21x = 66,829,399.71
  5. Step 5: Solve for x
    x = 66,829,399.71/8,948.21
  6. Step 6: Final answer
    x = 7,468.47

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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.