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Finding the Fourth Proportional to 7,875.64, 10,859.36 and 5,882.83

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Solution

The fourth proportional to 7,875.64, 10,859.36 and 5,882.83 is: 8,111.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.64 : 10,859.36 = 5,882.83 : x
  2. Step 2: Convert to fraction form
    7,875.64/10,859.36 = 5,882.83/x
  3. Step 3: Cross multiply
    7,875.64x = 10,859.36 × 5,882.83
  4. Step 4: Simplify right side
    7,875.64x = 63,883,768.79
  5. Step 5: Solve for x
    x = 63,883,768.79/7,875.64
  6. Step 6: Final answer
    x = 8,111.57

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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.