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Finding the Fourth Proportional to 7,665.16, 11,502.06 and 3,561.16

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Solution

The fourth proportional to 7,665.16, 11,502.06 and 3,561.16 is: 5,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.16 : 11,502.06 = 3,561.16 : x
  2. Step 2: Convert to fraction form
    7,665.16/11,502.06 = 3,561.16/x
  3. Step 3: Cross multiply
    7,665.16x = 11,502.06 × 3,561.16
  4. Step 4: Simplify right side
    7,665.16x = 40,960,675.99
  5. Step 5: Solve for x
    x = 40,960,675.99/7,665.16
  6. Step 6: Final answer
    x = 5,343.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.