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Finding the Fourth Proportional to 8,505.78, 11,735.76 and 4,966.98

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Solution

The fourth proportional to 8,505.78, 11,735.76 and 4,966.98 is: 6,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.78 : 11,735.76 = 4,966.98 : x
  2. Step 2: Convert to fraction form
    8,505.78/11,735.76 = 4,966.98/x
  3. Step 3: Cross multiply
    8,505.78x = 11,735.76 × 4,966.98
  4. Step 4: Simplify right side
    8,505.78x = 58,291,285.20
  5. Step 5: Solve for x
    x = 58,291,285.20/8,505.78
  6. Step 6: Final answer
    x = 6,853.14

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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.