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Finding the Fourth Proportional to 10,291.88, 14,202.86 and 5,576.19

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Solution

The fourth proportional to 10,291.88, 14,202.86 and 5,576.19 is: 7,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.88 : 14,202.86 = 5,576.19 : x
  2. Step 2: Convert to fraction form
    10,291.88/14,202.86 = 5,576.19/x
  3. Step 3: Cross multiply
    10,291.88x = 14,202.86 × 5,576.19
  4. Step 4: Simplify right side
    10,291.88x = 79,197,818.02
  5. Step 5: Solve for x
    x = 79,197,818.02/10,291.88
  6. Step 6: Final answer
    x = 7,695.18

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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.