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Finding the Fourth Proportional to 7,776.20, 11,664.30 and 7,411.70

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Solution

The fourth proportional to 7,776.20, 11,664.30 and 7,411.70 is: 11,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.20 : 11,664.30 = 7,411.70 : x
  2. Step 2: Convert to fraction form
    7,776.20/11,664.30 = 7,411.70/x
  3. Step 3: Cross multiply
    7,776.20x = 11,664.30 × 7,411.70
  4. Step 4: Simplify right side
    7,776.20x = 86,452,292.31
  5. Step 5: Solve for x
    x = 86,452,292.31/7,776.20
  6. Step 6: Final answer
    x = 11,117.55

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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.