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Finding the Fourth Proportional to 10,568.16, 15,850.47 and 3,547.39

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Solution

The fourth proportional to 10,568.16, 15,850.47 and 3,547.39 is: 5,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.16 : 15,850.47 = 3,547.39 : x
  2. Step 2: Convert to fraction form
    10,568.16/15,850.47 = 3,547.39/x
  3. Step 3: Cross multiply
    10,568.16x = 15,850.47 × 3,547.39
  4. Step 4: Simplify right side
    10,568.16x = 56,227,759.15
  5. Step 5: Solve for x
    x = 56,227,759.15/10,568.16
  6. Step 6: Final answer
    x = 5,320.49

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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.