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Finding the Fourth Proportional to 10,714.36, 16,071.56 and 2,924.32

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Solution

The fourth proportional to 10,714.36, 16,071.56 and 2,924.32 is: 4,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.36 : 16,071.56 = 2,924.32 : x
  2. Step 2: Convert to fraction form
    10,714.36/16,071.56 = 2,924.32/x
  3. Step 3: Cross multiply
    10,714.36x = 16,071.56 × 2,924.32
  4. Step 4: Simplify right side
    10,714.36x = 46,998,384.34
  5. Step 5: Solve for x
    x = 46,998,384.34/10,714.36
  6. Step 6: Final answer
    x = 4,386.49

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Why These Related Problems?

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