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Finding the Fourth Proportional to 8,514.66, 11,750.15 and 4,977.19

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Solution

The fourth proportional to 8,514.66, 11,750.15 and 4,977.19 is: 6,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.66 : 11,750.15 = 4,977.19 : x
  2. Step 2: Convert to fraction form
    8,514.66/11,750.15 = 4,977.19/x
  3. Step 3: Cross multiply
    8,514.66x = 11,750.15 × 4,977.19
  4. Step 4: Simplify right side
    8,514.66x = 58,482,728.21
  5. Step 5: Solve for x
    x = 58,482,728.21/8,514.66
  6. Step 6: Final answer
    x = 6,868.47

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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.