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Finding the Fourth Proportional to 7,616.16, 11,411.20 and 4,155.84

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Solution

The fourth proportional to 7,616.16, 11,411.20 and 4,155.84 is: 6,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 11,411.20 = 4,155.84 : x
  2. Step 2: Convert to fraction form
    7,616.16/11,411.20 = 4,155.84/x
  3. Step 3: Cross multiply
    7,616.16x = 11,411.20 × 4,155.84
  4. Step 4: Simplify right side
    7,616.16x = 47,423,121.41
  5. Step 5: Solve for x
    x = 47,423,121.41/7,616.16
  6. Step 6: Final answer
    x = 6,226.64

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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.