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Finding the Fourth Proportional to 8,334.30, 12,502.80 and 3,140.58

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Solution

The fourth proportional to 8,334.30, 12,502.80 and 3,140.58 is: 4,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.30 : 12,502.80 = 3,140.58 : x
  2. Step 2: Convert to fraction form
    8,334.30/12,502.80 = 3,140.58/x
  3. Step 3: Cross multiply
    8,334.30x = 12,502.80 × 3,140.58
  4. Step 4: Simplify right side
    8,334.30x = 39,266,043.62
  5. Step 5: Solve for x
    x = 39,266,043.62/8,334.30
  6. Step 6: Final answer
    x = 4,711.38

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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.