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Finding the Fourth Proportional to 12,527.53, 17,288.45 and 6,938.53

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Solution

The fourth proportional to 12,527.53, 17,288.45 and 6,938.53 is: 9,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.53 : 17,288.45 = 6,938.53 : x
  2. Step 2: Convert to fraction form
    12,527.53/17,288.45 = 6,938.53/x
  3. Step 3: Cross multiply
    12,527.53x = 17,288.45 × 6,938.53
  4. Step 4: Simplify right side
    12,527.53x = 119,956,428.98
  5. Step 5: Solve for x
    x = 119,956,428.98/12,527.53
  6. Step 6: Final answer
    x = 9,575.43

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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.