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Finding the Fourth Proportional to 10,047.18, 13,864.43 and 5,798.42

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Solution

The fourth proportional to 10,047.18, 13,864.43 and 5,798.42 is: 8,001.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.18 : 13,864.43 = 5,798.42 : x
  2. Step 2: Convert to fraction form
    10,047.18/13,864.43 = 5,798.42/x
  3. Step 3: Cross multiply
    10,047.18x = 13,864.43 × 5,798.42
  4. Step 4: Simplify right side
    10,047.18x = 80,391,785.37
  5. Step 5: Solve for x
    x = 80,391,785.37/10,047.18
  6. Step 6: Final answer
    x = 8,001.43

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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.