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Finding the Fourth Proportional to 8,117.69, 11,202.71 and 4,714.46

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Solution

The fourth proportional to 8,117.69, 11,202.71 and 4,714.46 is: 6,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.69 : 11,202.71 = 4,714.46 : x
  2. Step 2: Convert to fraction form
    8,117.69/11,202.71 = 4,714.46/x
  3. Step 3: Cross multiply
    8,117.69x = 11,202.71 × 4,714.46
  4. Step 4: Simplify right side
    8,117.69x = 52,814,648.60
  5. Step 5: Solve for x
    x = 52,814,648.60/8,117.69
  6. Step 6: Final answer
    x = 6,506.12

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