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Finding the Fourth Proportional to 5,514.32, 7,587.53 and 5,383.10

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Solution

The fourth proportional to 5,514.32, 7,587.53 and 5,383.10 is: 7,406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.32 : 7,587.53 = 5,383.10 : x
  2. Step 2: Convert to fraction form
    5,514.32/7,587.53 = 5,383.10/x
  3. Step 3: Cross multiply
    5,514.32x = 7,587.53 × 5,383.10
  4. Step 4: Simplify right side
    5,514.32x = 40,844,432.74
  5. Step 5: Solve for x
    x = 40,844,432.74/5,514.32
  6. Step 6: Final answer
    x = 7,406.98

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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.