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Finding the Fourth Proportional to 10,101.12, 13,945 and 7,085.48

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Solution

The fourth proportional to 10,101.12, 13,945 and 7,085.48 is: 9,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.12 : 13,945 = 7,085.48 : x
  2. Step 2: Convert to fraction form
    10,101.12/13,945 = 7,085.48/x
  3. Step 3: Cross multiply
    10,101.12x = 13,945 × 7,085.48
  4. Step 4: Simplify right side
    10,101.12x = 98,807,018.60
  5. Step 5: Solve for x
    x = 98,807,018.60/10,101.12
  6. Step 6: Final answer
    x = 9,781.79

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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.