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Finding the Fourth Proportional to 7,514.94, 10,374.78 and 4,531.50

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Solution

The fourth proportional to 7,514.94, 10,374.78 and 4,531.50 is: 6,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.94 : 10,374.78 = 4,531.50 : x
  2. Step 2: Convert to fraction form
    7,514.94/10,374.78 = 4,531.50/x
  3. Step 3: Cross multiply
    7,514.94x = 10,374.78 × 4,531.50
  4. Step 4: Simplify right side
    7,514.94x = 47,013,315.57
  5. Step 5: Solve for x
    x = 47,013,315.57/7,514.94
  6. Step 6: Final answer
    x = 6,255.98

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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.