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Finding the Fourth Proportional to 7,943.86, 10,962.05 and 4,406.86

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Solution

The fourth proportional to 7,943.86, 10,962.05 and 4,406.86 is: 6,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.86 : 10,962.05 = 4,406.86 : x
  2. Step 2: Convert to fraction form
    7,943.86/10,962.05 = 4,406.86/x
  3. Step 3: Cross multiply
    7,943.86x = 10,962.05 × 4,406.86
  4. Step 4: Simplify right side
    7,943.86x = 48,308,219.66
  5. Step 5: Solve for x
    x = 48,308,219.66/7,943.86
  6. Step 6: Final answer
    x = 6,081.20

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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.