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Finding the Fourth Proportional to 10,714.50, 16,071.95 and 2,923.52

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Solution

The fourth proportional to 10,714.50, 16,071.95 and 2,923.52 is: 4,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.50 : 16,071.95 = 2,923.52 : x
  2. Step 2: Convert to fraction form
    10,714.50/16,071.95 = 2,923.52/x
  3. Step 3: Cross multiply
    10,714.50x = 16,071.95 × 2,923.52
  4. Step 4: Simplify right side
    10,714.50x = 46,986,594.21
  5. Step 5: Solve for x
    x = 46,986,594.21/10,714.50
  6. Step 6: Final answer
    x = 4,385.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.