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Finding the Fourth Proportional to 8,924.10, 12,314.40 and 5,146.50

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Solution

The fourth proportional to 8,924.10, 12,314.40 and 5,146.50 is: 7,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.10 : 12,314.40 = 5,146.50 : x
  2. Step 2: Convert to fraction form
    8,924.10/12,314.40 = 5,146.50/x
  3. Step 3: Cross multiply
    8,924.10x = 12,314.40 × 5,146.50
  4. Step 4: Simplify right side
    8,924.10x = 63,376,059.60
  5. Step 5: Solve for x
    x = 63,376,059.60/8,924.10
  6. Step 6: Final answer
    x = 7,101.68

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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.