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Finding the Fourth Proportional to 10,352.53, 14,286.93 and 5,876.71

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Solution

The fourth proportional to 10,352.53, 14,286.93 and 5,876.71 is: 8,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.53 : 14,286.93 = 5,876.71 : x
  2. Step 2: Convert to fraction form
    10,352.53/14,286.93 = 5,876.71/x
  3. Step 3: Cross multiply
    10,352.53x = 14,286.93 × 5,876.71
  4. Step 4: Simplify right side
    10,352.53x = 83,960,144.40
  5. Step 5: Solve for x
    x = 83,960,144.40/10,352.53
  6. Step 6: Final answer
    x = 8,110.11

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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.