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Finding the Fourth Proportional to 7,875.10, 10,859.29 and 7,081.57

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Solution

The fourth proportional to 7,875.10, 10,859.29 and 7,081.57 is: 9,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.10 : 10,859.29 = 7,081.57 : x
  2. Step 2: Convert to fraction form
    7,875.10/10,859.29 = 7,081.57/x
  3. Step 3: Cross multiply
    7,875.10x = 10,859.29 × 7,081.57
  4. Step 4: Simplify right side
    7,875.10x = 76,900,777.43
  5. Step 5: Solve for x
    x = 76,900,777.43/7,875.10
  6. Step 6: Final answer
    x = 9,765.06

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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.