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Finding the Fourth Proportional to 7,659.32, 10,570.97 and 4,302.54

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Solution

The fourth proportional to 7,659.32, 10,570.97 and 4,302.54 is: 5,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.32 : 10,570.97 = 4,302.54 : x
  2. Step 2: Convert to fraction form
    7,659.32/10,570.97 = 4,302.54/x
  3. Step 3: Cross multiply
    7,659.32x = 10,570.97 × 4,302.54
  4. Step 4: Simplify right side
    7,659.32x = 45,482,032.02
  5. Step 5: Solve for x
    x = 45,482,032.02/7,659.32
  6. Step 6: Final answer
    x = 5,938.13

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Why These Related Problems?

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