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Finding the Fourth Proportional to 10,302.53, 14,215.11 and 6,951.56

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Solution

The fourth proportional to 10,302.53, 14,215.11 and 6,951.56 is: 9,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.53 : 14,215.11 = 6,951.56 : x
  2. Step 2: Convert to fraction form
    10,302.53/14,215.11 = 6,951.56/x
  3. Step 3: Cross multiply
    10,302.53x = 14,215.11 × 6,951.56
  4. Step 4: Simplify right side
    10,302.53x = 98,817,190.07
  5. Step 5: Solve for x
    x = 98,817,190.07/10,302.53
  6. Step 6: Final answer
    x = 9,591.55

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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.