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Finding the Fourth Proportional to 10,542.08, 14,548 and 6,066.70

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Solution

The fourth proportional to 10,542.08, 14,548 and 6,066.70 is: 8,372.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.08 : 14,548 = 6,066.70 : x
  2. Step 2: Convert to fraction form
    10,542.08/14,548 = 6,066.70/x
  3. Step 3: Cross multiply
    10,542.08x = 14,548 × 6,066.70
  4. Step 4: Simplify right side
    10,542.08x = 88,258,351.60
  5. Step 5: Solve for x
    x = 88,258,351.60/10,542.08
  6. Step 6: Final answer
    x = 8,372.01

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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.