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Finding the Fourth Proportional to 10,158.54, 14,018.43 and 5,682.78

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Solution

The fourth proportional to 10,158.54, 14,018.43 and 5,682.78 is: 7,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.54 : 14,018.43 = 5,682.78 : x
  2. Step 2: Convert to fraction form
    10,158.54/14,018.43 = 5,682.78/x
  3. Step 3: Cross multiply
    10,158.54x = 14,018.43 × 5,682.78
  4. Step 4: Simplify right side
    10,158.54x = 79,663,653.64
  5. Step 5: Solve for x
    x = 79,663,653.64/10,158.54
  6. Step 6: Final answer
    x = 7,842.04

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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.