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Finding the Fourth Proportional to 7,767.16, 11,641 and 6,117.18

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Solution

The fourth proportional to 7,767.16, 11,641 and 6,117.18 is: 9,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.16 : 11,641 = 6,117.18 : x
  2. Step 2: Convert to fraction form
    7,767.16/11,641 = 6,117.18/x
  3. Step 3: Cross multiply
    7,767.16x = 11,641 × 6,117.18
  4. Step 4: Simplify right side
    7,767.16x = 71,210,092.38
  5. Step 5: Solve for x
    x = 71,210,092.38/7,767.16
  6. Step 6: Final answer
    x = 9,168.10

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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.