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Finding the Fourth Proportional to 10,049.10, 13,866.85 and 5,572.84

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Solution

The fourth proportional to 10,049.10, 13,866.85 and 5,572.84 is: 7,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.10 : 13,866.85 = 5,572.84 : x
  2. Step 2: Convert to fraction form
    10,049.10/13,866.85 = 5,572.84/x
  3. Step 3: Cross multiply
    10,049.10x = 13,866.85 × 5,572.84
  4. Step 4: Simplify right side
    10,049.10x = 77,277,639.16
  5. Step 5: Solve for x
    x = 77,277,639.16/10,049.10
  6. Step 6: Final answer
    x = 7,690.01

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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.