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Finding the Fourth Proportional to 7,125.71, 9,824.31 and 5,844.87

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Solution

The fourth proportional to 7,125.71, 9,824.31 and 5,844.87 is: 8,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.71 : 9,824.31 = 5,844.87 : x
  2. Step 2: Convert to fraction form
    7,125.71/9,824.31 = 5,844.87/x
  3. Step 3: Cross multiply
    7,125.71x = 9,824.31 × 5,844.87
  4. Step 4: Simplify right side
    7,125.71x = 57,421,814.79
  5. Step 5: Solve for x
    x = 57,421,814.79/7,125.71
  6. Step 6: Final answer
    x = 8,058.40

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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.