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Finding the Fourth Proportional to 10,048.64, 13,868 and 5,856.80

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Solution

The fourth proportional to 10,048.64, 13,868 and 5,856.80 is: 8,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.64 : 13,868 = 5,856.80 : x
  2. Step 2: Convert to fraction form
    10,048.64/13,868 = 5,856.80/x
  3. Step 3: Cross multiply
    10,048.64x = 13,868 × 5,856.80
  4. Step 4: Simplify right side
    10,048.64x = 81,222,102.40
  5. Step 5: Solve for x
    x = 81,222,102.40/10,048.64
  6. Step 6: Final answer
    x = 8,082.90

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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.