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Finding the Fourth Proportional to 10,610.42, 14,642.52 and 5,895.14

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Solution

The fourth proportional to 10,610.42, 14,642.52 and 5,895.14 is: 8,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.42 : 14,642.52 = 5,895.14 : x
  2. Step 2: Convert to fraction form
    10,610.42/14,642.52 = 5,895.14/x
  3. Step 3: Cross multiply
    10,610.42x = 14,642.52 × 5,895.14
  4. Step 4: Simplify right side
    10,610.42x = 86,319,705.35
  5. Step 5: Solve for x
    x = 86,319,705.35/10,610.42
  6. Step 6: Final answer
    x = 8,135.37

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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.