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Finding the Fourth Proportional to 7,297.97, 10,948.55 and 2,368.11

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Solution

The fourth proportional to 7,297.97, 10,948.55 and 2,368.11 is: 3,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.97 : 10,948.55 = 2,368.11 : x
  2. Step 2: Convert to fraction form
    7,297.97/10,948.55 = 2,368.11/x
  3. Step 3: Cross multiply
    7,297.97x = 10,948.55 × 2,368.11
  4. Step 4: Simplify right side
    7,297.97x = 25,927,370.74
  5. Step 5: Solve for x
    x = 25,927,370.74/7,297.97
  6. Step 6: Final answer
    x = 3,552.68

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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.