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Finding the Fourth Proportional to 10,686.68, 14,751.32 and 7,340.57

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Solution

The fourth proportional to 10,686.68, 14,751.32 and 7,340.57 is: 10,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.68 : 14,751.32 = 7,340.57 : x
  2. Step 2: Convert to fraction form
    10,686.68/14,751.32 = 7,340.57/x
  3. Step 3: Cross multiply
    10,686.68x = 14,751.32 × 7,340.57
  4. Step 4: Simplify right side
    10,686.68x = 108,283,124.89
  5. Step 5: Solve for x
    x = 108,283,124.89/10,686.68
  6. Step 6: Final answer
    x = 10,132.53

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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.