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Finding the Fourth Proportional to 8,447.76, 11,658.06 and 4,671

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Solution

The fourth proportional to 8,447.76, 11,658.06 and 4,671 is: 6,446.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.76 : 11,658.06 = 4,671 : x
  2. Step 2: Convert to fraction form
    8,447.76/11,658.06 = 4,671/x
  3. Step 3: Cross multiply
    8,447.76x = 11,658.06 × 4,671
  4. Step 4: Simplify right side
    8,447.76x = 54,454,798.26
  5. Step 5: Solve for x
    x = 54,454,798.26/8,447.76
  6. Step 6: Final answer
    x = 6,446.06

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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.