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Finding the Fourth Proportional to 10,338.66, 14,267.66 and 5,862.29

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Solution

The fourth proportional to 10,338.66, 14,267.66 and 5,862.29 is: 8,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.66 : 14,267.66 = 5,862.29 : x
  2. Step 2: Convert to fraction form
    10,338.66/14,267.66 = 5,862.29/x
  3. Step 3: Cross multiply
    10,338.66x = 14,267.66 × 5,862.29
  4. Step 4: Simplify right side
    10,338.66x = 83,641,059.89
  5. Step 5: Solve for x
    x = 83,641,059.89/10,338.66
  6. Step 6: Final answer
    x = 8,090.13

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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.