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Finding the Fourth Proportional to 7,532.73, 10,395.43 and 4,547.98

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Solution

The fourth proportional to 7,532.73, 10,395.43 and 4,547.98 is: 6,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.73 : 10,395.43 = 4,547.98 : x
  2. Step 2: Convert to fraction form
    7,532.73/10,395.43 = 4,547.98/x
  3. Step 3: Cross multiply
    7,532.73x = 10,395.43 × 4,547.98
  4. Step 4: Simplify right side
    7,532.73x = 47,278,207.73
  5. Step 5: Solve for x
    x = 47,278,207.73/7,532.73
  6. Step 6: Final answer
    x = 6,276.38

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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.