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Finding the Fourth Proportional to 10,460.54, 14,463.96 and 10,291.55

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Solution

The fourth proportional to 10,460.54, 14,463.96 and 10,291.55 is: 14,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.54 : 14,463.96 = 10,291.55 : x
  2. Step 2: Convert to fraction form
    10,460.54/14,463.96 = 10,291.55/x
  3. Step 3: Cross multiply
    10,460.54x = 14,463.96 × 10,291.55
  4. Step 4: Simplify right side
    10,460.54x = 148,856,567.54
  5. Step 5: Solve for x
    x = 148,856,567.54/10,460.54
  6. Step 6: Final answer
    x = 14,230.29

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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.