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Finding the Fourth Proportional to 10,194.16, 15,269.64 and 7,701.52

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Solution

The fourth proportional to 10,194.16, 15,269.64 and 7,701.52 is: 11,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.16 : 15,269.64 = 7,701.52 : x
  2. Step 2: Convert to fraction form
    10,194.16/15,269.64 = 7,701.52/x
  3. Step 3: Cross multiply
    10,194.16x = 15,269.64 × 7,701.52
  4. Step 4: Simplify right side
    10,194.16x = 117,599,437.85
  5. Step 5: Solve for x
    x = 117,599,437.85/10,194.16
  6. Step 6: Final answer
    x = 11,535.96

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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.