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Finding the Fourth Proportional to 7,876.32, 10,867.93 and 4,732.57

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Solution

The fourth proportional to 7,876.32, 10,867.93 and 4,732.57 is: 6,530.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.32 : 10,867.93 = 4,732.57 : x
  2. Step 2: Convert to fraction form
    7,876.32/10,867.93 = 4,732.57/x
  3. Step 3: Cross multiply
    7,876.32x = 10,867.93 × 4,732.57
  4. Step 4: Simplify right side
    7,876.32x = 51,433,239.48
  5. Step 5: Solve for x
    x = 51,433,239.48/7,876.32
  6. Step 6: Final answer
    x = 6,530.11

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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.