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Finding the Fourth Proportional to 10,129.67, 15,196.02 and 3,554.70

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Solution

The fourth proportional to 10,129.67, 15,196.02 and 3,554.70 is: 5,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.67 : 15,196.02 = 3,554.70 : x
  2. Step 2: Convert to fraction form
    10,129.67/15,196.02 = 3,554.70/x
  3. Step 3: Cross multiply
    10,129.67x = 15,196.02 × 3,554.70
  4. Step 4: Simplify right side
    10,129.67x = 54,017,292.29
  5. Step 5: Solve for x
    x = 54,017,292.29/10,129.67
  6. Step 6: Final answer
    x = 5,332.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.