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Finding the Fourth Proportional to 10,363.54, 14,301.48 and 5,647.86

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Solution

The fourth proportional to 10,363.54, 14,301.48 and 5,647.86 is: 7,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.54 : 14,301.48 = 5,647.86 : x
  2. Step 2: Convert to fraction form
    10,363.54/14,301.48 = 5,647.86/x
  3. Step 3: Cross multiply
    10,363.54x = 14,301.48 × 5,647.86
  4. Step 4: Simplify right side
    10,363.54x = 80,772,756.83
  5. Step 5: Solve for x
    x = 80,772,756.83/10,363.54
  6. Step 6: Final answer
    x = 7,793.93

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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.