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Finding the Fourth Proportional to 7,498.78, 10,348.34 and 4,514.74

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Solution

The fourth proportional to 7,498.78, 10,348.34 and 4,514.74 is: 6,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.78 : 10,348.34 = 4,514.74 : x
  2. Step 2: Convert to fraction form
    7,498.78/10,348.34 = 4,514.74/x
  3. Step 3: Cross multiply
    7,498.78x = 10,348.34 × 4,514.74
  4. Step 4: Simplify right side
    7,498.78x = 46,720,054.89
  5. Step 5: Solve for x
    x = 46,720,054.89/7,498.78
  6. Step 6: Final answer
    x = 6,230.35

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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.