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Finding the Fourth Proportional to 7,295.97, 10,948.37 and 2,913.06

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Solution

The fourth proportional to 7,295.97, 10,948.37 and 2,913.06 is: 4,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.97 : 10,948.37 = 2,913.06 : x
  2. Step 2: Convert to fraction form
    7,295.97/10,948.37 = 2,913.06/x
  3. Step 3: Cross multiply
    7,295.97x = 10,948.37 × 2,913.06
  4. Step 4: Simplify right side
    7,295.97x = 31,893,285.20
  5. Step 5: Solve for x
    x = 31,893,285.20/7,295.97
  6. Step 6: Final answer
    x = 4,371.35

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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.