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Finding the Fourth Proportional to 7,351.83, 10,141.12 and 6,859.76

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Solution

The fourth proportional to 7,351.83, 10,141.12 and 6,859.76 is: 9,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.83 : 10,141.12 = 6,859.76 : x
  2. Step 2: Convert to fraction form
    7,351.83/10,141.12 = 6,859.76/x
  3. Step 3: Cross multiply
    7,351.83x = 10,141.12 × 6,859.76
  4. Step 4: Simplify right side
    7,351.83x = 69,565,568.61
  5. Step 5: Solve for x
    x = 69,565,568.61/7,351.83
  6. Step 6: Final answer
    x = 9,462.35

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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.