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Finding the Fourth Proportional to 8,466.51, 12,693.09 and 3,788.76

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Solution

The fourth proportional to 8,466.51, 12,693.09 and 3,788.76 is: 5,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.51 : 12,693.09 = 3,788.76 : x
  2. Step 2: Convert to fraction form
    8,466.51/12,693.09 = 3,788.76/x
  3. Step 3: Cross multiply
    8,466.51x = 12,693.09 × 3,788.76
  4. Step 4: Simplify right side
    8,466.51x = 48,091,071.67
  5. Step 5: Solve for x
    x = 48,091,071.67/8,466.51
  6. Step 6: Final answer
    x = 5,680.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.