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Finding the Fourth Proportional to 12,526.57, 17,286.68 and 6,937.57

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Solution

The fourth proportional to 12,526.57, 17,286.68 and 6,937.57 is: 9,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.57 : 17,286.68 = 6,937.57 : x
  2. Step 2: Convert to fraction form
    12,526.57/17,286.68 = 6,937.57/x
  3. Step 3: Cross multiply
    12,526.57x = 17,286.68 × 6,937.57
  4. Step 4: Simplify right side
    12,526.57x = 119,927,552.57
  5. Step 5: Solve for x
    x = 119,927,552.57/12,526.57
  6. Step 6: Final answer
    x = 9,573.85

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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.