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Finding the Fourth Proportional to 7,411.86, 11,111.98 and 3,712.23

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Solution

The fourth proportional to 7,411.86, 11,111.98 and 3,712.23 is: 5,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.86 : 11,111.98 = 3,712.23 : x
  2. Step 2: Convert to fraction form
    7,411.86/11,111.98 = 3,712.23/x
  3. Step 3: Cross multiply
    7,411.86x = 11,111.98 × 3,712.23
  4. Step 4: Simplify right side
    7,411.86x = 41,250,225.52
  5. Step 5: Solve for x
    x = 41,250,225.52/7,411.86
  6. Step 6: Final answer
    x = 5,565.44

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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.