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Finding the Fourth Proportional to 10,610.46, 14,642.42 and 5,895.18

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Solution

The fourth proportional to 10,610.46, 14,642.42 and 5,895.18 is: 8,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.46 : 14,642.42 = 5,895.18 : x
  2. Step 2: Convert to fraction form
    10,610.46/14,642.42 = 5,895.18/x
  3. Step 3: Cross multiply
    10,610.46x = 14,642.42 × 5,895.18
  4. Step 4: Simplify right side
    10,610.46x = 86,319,672.06
  5. Step 5: Solve for x
    x = 86,319,672.06/10,610.46
  6. Step 6: Final answer
    x = 8,135.34

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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.