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Finding the Fourth Proportional to 8,911.50, 12,298.50 and 5,374.50

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Solution

The fourth proportional to 8,911.50, 12,298.50 and 5,374.50 is: 7,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.50 : 12,298.50 = 5,374.50 : x
  2. Step 2: Convert to fraction form
    8,911.50/12,298.50 = 5,374.50/x
  3. Step 3: Cross multiply
    8,911.50x = 12,298.50 × 5,374.50
  4. Step 4: Simplify right side
    8,911.50x = 66,098,288.25
  5. Step 5: Solve for x
    x = 66,098,288.25/8,911.50
  6. Step 6: Final answer
    x = 7,417.19

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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.