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Finding the Fourth Proportional to 10,331.87, 14,258.04 and 5,855.69

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Solution

The fourth proportional to 10,331.87, 14,258.04 and 5,855.69 is: 8,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.87 : 14,258.04 = 5,855.69 : x
  2. Step 2: Convert to fraction form
    10,331.87/14,258.04 = 5,855.69/x
  3. Step 3: Cross multiply
    10,331.87x = 14,258.04 × 5,855.69
  4. Step 4: Simplify right side
    10,331.87x = 83,490,721.22
  5. Step 5: Solve for x
    x = 83,490,721.22/10,331.87
  6. Step 6: Final answer
    x = 8,080.89

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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.