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Finding the Fourth Proportional to 10,191.42, 15,292.47 and 7,403.29

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Solution

The fourth proportional to 10,191.42, 15,292.47 and 7,403.29 is: 11,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.42 : 15,292.47 = 7,403.29 : x
  2. Step 2: Convert to fraction form
    10,191.42/15,292.47 = 7,403.29/x
  3. Step 3: Cross multiply
    10,191.42x = 15,292.47 × 7,403.29
  4. Step 4: Simplify right side
    10,191.42x = 113,214,513.76
  5. Step 5: Solve for x
    x = 113,214,513.76/10,191.42
  6. Step 6: Final answer
    x = 11,108.81

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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.