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Finding the Fourth Proportional to 7,531.97, 10,394.39 and 4,547.23

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Solution

The fourth proportional to 7,531.97, 10,394.39 and 4,547.23 is: 6,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.97 : 10,394.39 = 4,547.23 : x
  2. Step 2: Convert to fraction form
    7,531.97/10,394.39 = 4,547.23/x
  3. Step 3: Cross multiply
    7,531.97x = 10,394.39 × 4,547.23
  4. Step 4: Simplify right side
    7,531.97x = 47,265,667.42
  5. Step 5: Solve for x
    x = 47,265,667.42/7,531.97
  6. Step 6: Final answer
    x = 6,275.34

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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.