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Finding the Fourth Proportional to 10,558.86, 14,570.73 and 6,082.74

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Solution

The fourth proportional to 10,558.86, 14,570.73 and 6,082.74 is: 8,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.86 : 14,570.73 = 6,082.74 : x
  2. Step 2: Convert to fraction form
    10,558.86/14,570.73 = 6,082.74/x
  3. Step 3: Cross multiply
    10,558.86x = 14,570.73 × 6,082.74
  4. Step 4: Simplify right side
    10,558.86x = 88,629,962.20
  5. Step 5: Solve for x
    x = 88,629,962.20/10,558.86
  6. Step 6: Final answer
    x = 8,393.90

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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.