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Finding the Fourth Proportional to 7,215.42, 10,823.13 and 5,903.22

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Solution

The fourth proportional to 7,215.42, 10,823.13 and 5,903.22 is: 8,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.42 : 10,823.13 = 5,903.22 : x
  2. Step 2: Convert to fraction form
    7,215.42/10,823.13 = 5,903.22/x
  3. Step 3: Cross multiply
    7,215.42x = 10,823.13 × 5,903.22
  4. Step 4: Simplify right side
    7,215.42x = 63,891,317.48
  5. Step 5: Solve for x
    x = 63,891,317.48/7,215.42
  6. Step 6: Final answer
    x = 8,854.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.