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Finding the Fourth Proportional to 7,867.16, 10,856.49 and 4,330.34

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Solution

The fourth proportional to 7,867.16, 10,856.49 and 4,330.34 is: 5,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.16 : 10,856.49 = 4,330.34 : x
  2. Step 2: Convert to fraction form
    7,867.16/10,856.49 = 4,330.34/x
  3. Step 3: Cross multiply
    7,867.16x = 10,856.49 × 4,330.34
  4. Step 4: Simplify right side
    7,867.16x = 47,012,292.91
  5. Step 5: Solve for x
    x = 47,012,292.91/7,867.16
  6. Step 6: Final answer
    x = 5,975.76

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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.