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Finding the Fourth Proportional to 10,714.92, 16,071.15 and 2,924.34

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Solution

The fourth proportional to 10,714.92, 16,071.15 and 2,924.34 is: 4,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.92 : 16,071.15 = 2,924.34 : x
  2. Step 2: Convert to fraction form
    10,714.92/16,071.15 = 2,924.34/x
  3. Step 3: Cross multiply
    10,714.92x = 16,071.15 × 2,924.34
  4. Step 4: Simplify right side
    10,714.92x = 46,997,506.79
  5. Step 5: Solve for x
    x = 46,997,506.79/10,714.92
  6. Step 6: Final answer
    x = 4,386.17

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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.