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Finding the Fourth Proportional to 7,867.80, 10,864.13 and 7,027.02

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Solution

The fourth proportional to 7,867.80, 10,864.13 and 7,027.02 is: 9,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.80 : 10,864.13 = 7,027.02 : x
  2. Step 2: Convert to fraction form
    7,867.80/10,864.13 = 7,027.02/x
  3. Step 3: Cross multiply
    7,867.80x = 10,864.13 × 7,027.02
  4. Step 4: Simplify right side
    7,867.80x = 76,342,423.66
  5. Step 5: Solve for x
    x = 76,342,423.66/7,867.80
  6. Step 6: Final answer
    x = 9,703.15

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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.