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Finding the Fourth Proportional to 10,281.71, 14,174.21 and 7,296.46

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Solution

The fourth proportional to 10,281.71, 14,174.21 and 7,296.46 is: 10,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.71 : 14,174.21 = 7,296.46 : x
  2. Step 2: Convert to fraction form
    10,281.71/14,174.21 = 7,296.46/x
  3. Step 3: Cross multiply
    10,281.71x = 14,174.21 × 7,296.46
  4. Step 4: Simplify right side
    10,281.71x = 103,421,556.30
  5. Step 5: Solve for x
    x = 103,421,556.30/10,281.71
  6. Step 6: Final answer
    x = 10,058.79

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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.