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Finding the Fourth Proportional to 7,127.01, 10,714.41 and 5,750.01

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Solution

The fourth proportional to 7,127.01, 10,714.41 and 5,750.01 is: 8,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.01 : 10,714.41 = 5,750.01 : x
  2. Step 2: Convert to fraction form
    7,127.01/10,714.41 = 5,750.01/x
  3. Step 3: Cross multiply
    7,127.01x = 10,714.41 × 5,750.01
  4. Step 4: Simplify right side
    7,127.01x = 61,607,964.64
  5. Step 5: Solve for x
    x = 61,607,964.64/7,127.01
  6. Step 6: Final answer
    x = 8,644.29

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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.