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Finding the Fourth Proportional to 7,867.30, 10,856.94 and 4,330.53

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Solution

The fourth proportional to 7,867.30, 10,856.94 and 4,330.53 is: 5,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.30 : 10,856.94 = 4,330.53 : x
  2. Step 2: Convert to fraction form
    7,867.30/10,856.94 = 4,330.53/x
  3. Step 3: Cross multiply
    7,867.30x = 10,856.94 × 4,330.53
  4. Step 4: Simplify right side
    7,867.30x = 47,016,304.38
  5. Step 5: Solve for x
    x = 47,016,304.38/7,867.30
  6. Step 6: Final answer
    x = 5,976.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.