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Finding the Fourth Proportional to 8,403.46, 12,588.78 and 6,178.18

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Solution

The fourth proportional to 8,403.46, 12,588.78 and 6,178.18 is: 9,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.46 : 12,588.78 = 6,178.18 : x
  2. Step 2: Convert to fraction form
    8,403.46/12,588.78 = 6,178.18/x
  3. Step 3: Cross multiply
    8,403.46x = 12,588.78 × 6,178.18
  4. Step 4: Simplify right side
    8,403.46x = 77,775,748.82
  5. Step 5: Solve for x
    x = 77,775,748.82/8,403.46
  6. Step 6: Final answer
    x = 9,255.21

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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.