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Finding the Fourth Proportional to 8,916.81, 13,374 and 5,213.49

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Solution

The fourth proportional to 8,916.81, 13,374 and 5,213.49 is: 7,819.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.81 : 13,374 = 5,213.49 : x
  2. Step 2: Convert to fraction form
    8,916.81/13,374 = 5,213.49/x
  3. Step 3: Cross multiply
    8,916.81x = 13,374 × 5,213.49
  4. Step 4: Simplify right side
    8,916.81x = 69,725,215.26
  5. Step 5: Solve for x
    x = 69,725,215.26/8,916.81
  6. Step 6: Final answer
    x = 7,819.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.