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Finding the Fourth Proportional to 11,309.57, 15,607.19 and 6,274.55

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Solution

The fourth proportional to 11,309.57, 15,607.19 and 6,274.55 is: 8,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.57 : 15,607.19 = 6,274.55 : x
  2. Step 2: Convert to fraction form
    11,309.57/15,607.19 = 6,274.55/x
  3. Step 3: Cross multiply
    11,309.57x = 15,607.19 × 6,274.55
  4. Step 4: Simplify right side
    11,309.57x = 97,928,117.35
  5. Step 5: Solve for x
    x = 97,928,117.35/11,309.57
  6. Step 6: Final answer
    x = 8,658.87

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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.