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Finding the Fourth Proportional to 8,447.03, 11,657.15 and 4,670.31

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Solution

The fourth proportional to 8,447.03, 11,657.15 and 4,670.31 is: 6,445.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.03 : 11,657.15 = 4,670.31 : x
  2. Step 2: Convert to fraction form
    8,447.03/11,657.15 = 4,670.31/x
  3. Step 3: Cross multiply
    8,447.03x = 11,657.15 × 4,670.31
  4. Step 4: Simplify right side
    8,447.03x = 54,442,480.86
  5. Step 5: Solve for x
    x = 54,442,480.86/8,447.03
  6. Step 6: Final answer
    x = 6,445.17

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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.