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Finding the Fourth Proportional to 8,160.04, 12,245.82 and 6,315.40

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Solution

The fourth proportional to 8,160.04, 12,245.82 and 6,315.40 is: 9,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.04 : 12,245.82 = 6,315.40 : x
  2. Step 2: Convert to fraction form
    8,160.04/12,245.82 = 6,315.40/x
  3. Step 3: Cross multiply
    8,160.04x = 12,245.82 × 6,315.40
  4. Step 4: Simplify right side
    8,160.04x = 77,337,251.63
  5. Step 5: Solve for x
    x = 77,337,251.63/8,160.04
  6. Step 6: Final answer
    x = 9,477.56

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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.