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Finding the Fourth Proportional to 7,513.84, 11,279.72 and 4,438

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Solution

The fourth proportional to 7,513.84, 11,279.72 and 4,438 is: 6,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.84 : 11,279.72 = 4,438 : x
  2. Step 2: Convert to fraction form
    7,513.84/11,279.72 = 4,438/x
  3. Step 3: Cross multiply
    7,513.84x = 11,279.72 × 4,438
  4. Step 4: Simplify right side
    7,513.84x = 50,059,397.36
  5. Step 5: Solve for x
    x = 50,059,397.36/7,513.84
  6. Step 6: Final answer
    x = 6,662.29

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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.