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Finding the Fourth Proportional to 11,398.86, 17,088.57 and 4,471.74

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Solution

The fourth proportional to 11,398.86, 17,088.57 and 4,471.74 is: 6,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.86 : 17,088.57 = 4,471.74 : x
  2. Step 2: Convert to fraction form
    11,398.86/17,088.57 = 4,471.74/x
  3. Step 3: Cross multiply
    11,398.86x = 17,088.57 × 4,471.74
  4. Step 4: Simplify right side
    11,398.86x = 76,415,642.01
  5. Step 5: Solve for x
    x = 76,415,642.01/11,398.86
  6. Step 6: Final answer
    x = 6,703.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.