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Finding the Fourth Proportional to 12,527.59, 17,283.78 and 7,146.16

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Solution

The fourth proportional to 12,527.59, 17,283.78 and 7,146.16 is: 9,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.59 : 17,283.78 = 7,146.16 : x
  2. Step 2: Convert to fraction form
    12,527.59/17,283.78 = 7,146.16/x
  3. Step 3: Cross multiply
    12,527.59x = 17,283.78 × 7,146.16
  4. Step 4: Simplify right side
    12,527.59x = 123,512,657.28
  5. Step 5: Solve for x
    x = 123,512,657.28/12,527.59
  6. Step 6: Final answer
    x = 9,859.25

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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.