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Finding the Fourth Proportional to 11,663.32, 16,094.77 and 6,626.84

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Solution

The fourth proportional to 11,663.32, 16,094.77 and 6,626.84 is: 9,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.32 : 16,094.77 = 6,626.84 : x
  2. Step 2: Convert to fraction form
    11,663.32/16,094.77 = 6,626.84/x
  3. Step 3: Cross multiply
    11,663.32x = 16,094.77 × 6,626.84
  4. Step 4: Simplify right side
    11,663.32x = 106,657,368.59
  5. Step 5: Solve for x
    x = 106,657,368.59/11,663.32
  6. Step 6: Final answer
    x = 9,144.69

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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.