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Finding the Fourth Proportional to 10,260.26, 15,403.14 and 7,159.98

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Solution

The fourth proportional to 10,260.26, 15,403.14 and 7,159.98 is: 10,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.26 : 15,403.14 = 7,159.98 : x
  2. Step 2: Convert to fraction form
    10,260.26/15,403.14 = 7,159.98/x
  3. Step 3: Cross multiply
    10,260.26x = 15,403.14 × 7,159.98
  4. Step 4: Simplify right side
    10,260.26x = 110,286,174.34
  5. Step 5: Solve for x
    x = 110,286,174.34/10,260.26
  6. Step 6: Final answer
    x = 10,748.87

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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.