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Finding the Fourth Proportional to 12,508.46, 17,256.30 and 7,202.15

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Solution

The fourth proportional to 12,508.46, 17,256.30 and 7,202.15 is: 9,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,508.46 : 17,256.30 = 7,202.15 : x
  2. Step 2: Convert to fraction form
    12,508.46/17,256.30 = 7,202.15/x
  3. Step 3: Cross multiply
    12,508.46x = 17,256.30 × 7,202.15
  4. Step 4: Simplify right side
    12,508.46x = 124,282,374.76
  5. Step 5: Solve for x
    x = 124,282,374.76/12,508.46
  6. Step 6: Final answer
    x = 9,935.87

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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.