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Finding the Fourth Proportional to 10,170.16, 14,035.04 and 7,191.24

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Solution

The fourth proportional to 10,170.16, 14,035.04 and 7,191.24 is: 9,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.16 : 14,035.04 = 7,191.24 : x
  2. Step 2: Convert to fraction form
    10,170.16/14,035.04 = 7,191.24/x
  3. Step 3: Cross multiply
    10,170.16x = 14,035.04 × 7,191.24
  4. Step 4: Simplify right side
    10,170.16x = 100,929,341.05
  5. Step 5: Solve for x
    x = 100,929,341.05/10,170.16
  6. Step 6: Final answer
    x = 9,924.07

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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.