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Finding the Fourth Proportional to 7,870.29, 10,863.95 and 5,218.59

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Solution

The fourth proportional to 7,870.29, 10,863.95 and 5,218.59 is: 7,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.29 : 10,863.95 = 5,218.59 : x
  2. Step 2: Convert to fraction form
    7,870.29/10,863.95 = 5,218.59/x
  3. Step 3: Cross multiply
    7,870.29x = 10,863.95 × 5,218.59
  4. Step 4: Simplify right side
    7,870.29x = 56,694,474.74
  5. Step 5: Solve for x
    x = 56,694,474.74/7,870.29
  6. Step 6: Final answer
    x = 7,203.61

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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.