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Finding the Fourth Proportional to 10,421.60, 14,381.64 and 5,945.20

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Solution

The fourth proportional to 10,421.60, 14,381.64 and 5,945.20 is: 8,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.60 : 14,381.64 = 5,945.20 : x
  2. Step 2: Convert to fraction form
    10,421.60/14,381.64 = 5,945.20/x
  3. Step 3: Cross multiply
    10,421.60x = 14,381.64 × 5,945.20
  4. Step 4: Simplify right side
    10,421.60x = 85,501,726.13
  5. Step 5: Solve for x
    x = 85,501,726.13/10,421.60
  6. Step 6: Final answer
    x = 8,204.28

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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.