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Finding the Fourth Proportional to 8,808.24, 13,214.80 and 7,180.14

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Solution

The fourth proportional to 8,808.24, 13,214.80 and 7,180.14 is: 10,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,808.24 : 13,214.80 = 7,180.14 : x
  2. Step 2: Convert to fraction form
    8,808.24/13,214.80 = 7,180.14/x
  3. Step 3: Cross multiply
    8,808.24x = 13,214.80 × 7,180.14
  4. Step 4: Simplify right side
    8,808.24x = 94,884,114.07
  5. Step 5: Solve for x
    x = 94,884,114.07/8,808.24
  6. Step 6: Final answer
    x = 10,772.20

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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.