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Finding the Fourth Proportional to 10,707.58, 14,775.50 and 6,517.18

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Solution

The fourth proportional to 10,707.58, 14,775.50 and 6,517.18 is: 8,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.58 : 14,775.50 = 6,517.18 : x
  2. Step 2: Convert to fraction form
    10,707.58/14,775.50 = 6,517.18/x
  3. Step 3: Cross multiply
    10,707.58x = 14,775.50 × 6,517.18
  4. Step 4: Simplify right side
    10,707.58x = 96,294,593.09
  5. Step 5: Solve for x
    x = 96,294,593.09/10,707.58
  6. Step 6: Final answer
    x = 8,993.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.