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Finding the Fourth Proportional to 10,535.10, 14,538.86 and 6,058.85

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Solution

The fourth proportional to 10,535.10, 14,538.86 and 6,058.85 is: 8,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.10 : 14,538.86 = 6,058.85 : x
  2. Step 2: Convert to fraction form
    10,535.10/14,538.86 = 6,058.85/x
  3. Step 3: Cross multiply
    10,535.10x = 14,538.86 × 6,058.85
  4. Step 4: Simplify right side
    10,535.10x = 88,088,720.42
  5. Step 5: Solve for x
    x = 88,088,720.42/10,535.10
  6. Step 6: Final answer
    x = 8,361.45

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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.