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Finding the Fourth Proportional to 7,568.42, 10,444.52 and 4,584.52

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Solution

The fourth proportional to 7,568.42, 10,444.52 and 4,584.52 is: 6,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.42 : 10,444.52 = 4,584.52 : x
  2. Step 2: Convert to fraction form
    7,568.42/10,444.52 = 4,584.52/x
  3. Step 3: Cross multiply
    7,568.42x = 10,444.52 × 4,584.52
  4. Step 4: Simplify right side
    7,568.42x = 47,883,110.83
  5. Step 5: Solve for x
    x = 47,883,110.83/7,568.42
  6. Step 6: Final answer
    x = 6,326.70

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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.