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Finding the Fourth Proportional to 7,549.54, 10,414.74 and 5,312.64

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Solution

The fourth proportional to 7,549.54, 10,414.74 and 5,312.64 is: 7,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.54 : 10,414.74 = 5,312.64 : x
  2. Step 2: Convert to fraction form
    7,549.54/10,414.74 = 5,312.64/x
  3. Step 3: Cross multiply
    7,549.54x = 10,414.74 × 5,312.64
  4. Step 4: Simplify right side
    7,549.54x = 55,329,764.31
  5. Step 5: Solve for x
    x = 55,329,764.31/7,549.54
  6. Step 6: Final answer
    x = 7,328.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.