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Finding the Fourth Proportional to 10,041.84, 13,856.88 and 5,850.48

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Solution

The fourth proportional to 10,041.84, 13,856.88 and 5,850.48 is: 8,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.84 : 13,856.88 = 5,850.48 : x
  2. Step 2: Convert to fraction form
    10,041.84/13,856.88 = 5,850.48/x
  3. Step 3: Cross multiply
    10,041.84x = 13,856.88 × 5,850.48
  4. Step 4: Simplify right side
    10,041.84x = 81,069,399.30
  5. Step 5: Solve for x
    x = 81,069,399.30/10,041.84
  6. Step 6: Final answer
    x = 8,073.16

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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.