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Finding the Fourth Proportional to 10,315.88, 14,235.04 and 5,839.40

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Solution

The fourth proportional to 10,315.88, 14,235.04 and 5,839.40 is: 8,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.88 : 14,235.04 = 5,839.40 : x
  2. Step 2: Convert to fraction form
    10,315.88/14,235.04 = 5,839.40/x
  3. Step 3: Cross multiply
    10,315.88x = 14,235.04 × 5,839.40
  4. Step 4: Simplify right side
    10,315.88x = 83,124,092.58
  5. Step 5: Solve for x
    x = 83,124,092.58/10,315.88
  6. Step 6: Final answer
    x = 8,057.88

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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.