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Finding the Fourth Proportional to 8,824.01, 13,242.45 and 6,750

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Solution

The fourth proportional to 8,824.01, 13,242.45 and 6,750 is: 10,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.01 : 13,242.45 = 6,750 : x
  2. Step 2: Convert to fraction form
    8,824.01/13,242.45 = 6,750/x
  3. Step 3: Cross multiply
    8,824.01x = 13,242.45 × 6,750
  4. Step 4: Simplify right side
    8,824.01x = 89,386,562.81
  5. Step 5: Solve for x
    x = 89,386,562.81/8,824.01
  6. Step 6: Final answer
    x = 10,129.93

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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.