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Finding the Fourth Proportional to 7,535, 10,398.32 and 4,223

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Solution

The fourth proportional to 7,535, 10,398.32 and 4,223 is: 5,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535 : 10,398.32 = 4,223 : x
  2. Step 2: Convert to fraction form
    7,535/10,398.32 = 4,223/x
  3. Step 3: Cross multiply
    7,535x = 10,398.32 × 4,223
  4. Step 4: Simplify right side
    7,535x = 43,912,084.25
  5. Step 5: Solve for x
    x = 43,912,084.25/7,535
  6. Step 6: Final answer
    x = 5,827.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.