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Finding the Fourth Proportional to 28,626.89, 42,935.47 and 7,567.16

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Solution

The fourth proportional to 28,626.89, 42,935.47 and 7,567.16 is: 11,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,626.89 : 42,935.47 = 7,567.16 : x
  2. Step 2: Convert to fraction form
    28,626.89/42,935.47 = 7,567.16/x
  3. Step 3: Cross multiply
    28,626.89x = 42,935.47 × 7,567.16
  4. Step 4: Simplify right side
    28,626.89x = 324,899,337.57
  5. Step 5: Solve for x
    x = 324,899,337.57/28,626.89
  6. Step 6: Final answer
    x = 11,349.45

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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.