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Finding the Fourth Proportional to 7,111.69, 9,813.98 and 3,924.86

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Solution

The fourth proportional to 7,111.69, 9,813.98 and 3,924.86 is: 5,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.69 : 9,813.98 = 3,924.86 : x
  2. Step 2: Convert to fraction form
    7,111.69/9,813.98 = 3,924.86/x
  3. Step 3: Cross multiply
    7,111.69x = 9,813.98 × 3,924.86
  4. Step 4: Simplify right side
    7,111.69x = 38,518,458.29
  5. Step 5: Solve for x
    x = 38,518,458.29/7,111.69
  6. Step 6: Final answer
    x = 5,416.22

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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.