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Finding the Fourth Proportional to 10,103.66, 13,928.59 and 7,110.19

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Solution

The fourth proportional to 10,103.66, 13,928.59 and 7,110.19 is: 9,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.66 : 13,928.59 = 7,110.19 : x
  2. Step 2: Convert to fraction form
    10,103.66/13,928.59 = 7,110.19/x
  3. Step 3: Cross multiply
    10,103.66x = 13,928.59 × 7,110.19
  4. Step 4: Simplify right side
    10,103.66x = 99,034,921.33
  5. Step 5: Solve for x
    x = 99,034,921.33/10,103.66
  6. Step 6: Final answer
    x = 9,801.89

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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.