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Finding the Fourth Proportional to 8,385.12, 12,560.40 and 4,914

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Solution

The fourth proportional to 8,385.12, 12,560.40 and 4,914 is: 7,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.12 : 12,560.40 = 4,914 : x
  2. Step 2: Convert to fraction form
    8,385.12/12,560.40 = 4,914/x
  3. Step 3: Cross multiply
    8,385.12x = 12,560.40 × 4,914
  4. Step 4: Simplify right side
    8,385.12x = 61,721,805.60
  5. Step 5: Solve for x
    x = 61,721,805.60/8,385.12
  6. Step 6: Final answer
    x = 7,360.87

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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.