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Finding the Fourth Proportional to 7,486.86, 10,331.01 and 4,129.32

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Solution

The fourth proportional to 7,486.86, 10,331.01 and 4,129.32 is: 5,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.86 : 10,331.01 = 4,129.32 : x
  2. Step 2: Convert to fraction form
    7,486.86/10,331.01 = 4,129.32/x
  3. Step 3: Cross multiply
    7,486.86x = 10,331.01 × 4,129.32
  4. Step 4: Simplify right side
    7,486.86x = 42,660,046.21
  5. Step 5: Solve for x
    x = 42,660,046.21/7,486.86
  6. Step 6: Final answer
    x = 5,697.99

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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.