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Finding the Fourth Proportional to 11,931.90, 16,466.04 and 6,626.58

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Solution

The fourth proportional to 11,931.90, 16,466.04 and 6,626.58 is: 9,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.90 : 16,466.04 = 6,626.58 : x
  2. Step 2: Convert to fraction form
    11,931.90/16,466.04 = 6,626.58/x
  3. Step 3: Cross multiply
    11,931.90x = 16,466.04 × 6,626.58
  4. Step 4: Simplify right side
    11,931.90x = 109,113,531.34
  5. Step 5: Solve for x
    x = 109,113,531.34/11,931.90
  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.