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Finding the Fourth Proportional to 7,102.92, 10,652.03 and 2,357.98

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Solution

The fourth proportional to 7,102.92, 10,652.03 and 2,357.98 is: 3,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.92 : 10,652.03 = 2,357.98 : x
  2. Step 2: Convert to fraction form
    7,102.92/10,652.03 = 2,357.98/x
  3. Step 3: Cross multiply
    7,102.92x = 10,652.03 × 2,357.98
  4. Step 4: Simplify right side
    7,102.92x = 25,117,255.79
  5. Step 5: Solve for x
    x = 25,117,255.79/7,102.92
  6. Step 6: Final answer
    x = 3,536.19

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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.