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Finding the Fourth Proportional to 7,760.79, 10,714.98 and 5,246.34

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Solution

The fourth proportional to 7,760.79, 10,714.98 and 5,246.34 is: 7,243.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.79 : 10,714.98 = 5,246.34 : x
  2. Step 2: Convert to fraction form
    7,760.79/10,714.98 = 5,246.34/x
  3. Step 3: Cross multiply
    7,760.79x = 10,714.98 × 5,246.34
  4. Step 4: Simplify right side
    7,760.79x = 56,214,428.17
  5. Step 5: Solve for x
    x = 56,214,428.17/7,760.79
  6. Step 6: Final answer
    x = 7,243.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.