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Finding the Fourth Proportional to 10,496.14, 15,744.18 and 7,199.23

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Solution

The fourth proportional to 10,496.14, 15,744.18 and 7,199.23 is: 10,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.14 : 15,744.18 = 7,199.23 : x
  2. Step 2: Convert to fraction form
    10,496.14/15,744.18 = 7,199.23/x
  3. Step 3: Cross multiply
    10,496.14x = 15,744.18 × 7,199.23
  4. Step 4: Simplify right side
    10,496.14x = 113,345,894.26
  5. Step 5: Solve for x
    x = 113,345,894.26/10,496.14
  6. Step 6: Final answer
    x = 10,798.82

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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.