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Finding the Fourth Proportional to 10,421.52, 14,380.78 and 5,883.96

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Solution

The fourth proportional to 10,421.52, 14,380.78 and 5,883.96 is: 8,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.52 : 14,380.78 = 5,883.96 : x
  2. Step 2: Convert to fraction form
    10,421.52/14,380.78 = 5,883.96/x
  3. Step 3: Cross multiply
    10,421.52x = 14,380.78 × 5,883.96
  4. Step 4: Simplify right side
    10,421.52x = 84,615,934.29
  5. Step 5: Solve for x
    x = 84,615,934.29/10,421.52
  6. Step 6: Final answer
    x = 8,119.35

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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.