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Finding the Fourth Proportional to 7,782.84, 11,677.86 and 4,226.13

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Solution

The fourth proportional to 7,782.84, 11,677.86 and 4,226.13 is: 6,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.84 : 11,677.86 = 4,226.13 : x
  2. Step 2: Convert to fraction form
    7,782.84/11,677.86 = 4,226.13/x
  3. Step 3: Cross multiply
    7,782.84x = 11,677.86 × 4,226.13
  4. Step 4: Simplify right side
    7,782.84x = 49,352,154.48
  5. Step 5: Solve for x
    x = 49,352,154.48/7,782.84
  6. Step 6: Final answer
    x = 6,341.15

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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.