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Finding the Fourth Proportional to 8,035.35, 12,032.06 and 6,466.79

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Solution

The fourth proportional to 8,035.35, 12,032.06 and 6,466.79 is: 9,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.35 : 12,032.06 = 6,466.79 : x
  2. Step 2: Convert to fraction form
    8,035.35/12,032.06 = 6,466.79/x
  3. Step 3: Cross multiply
    8,035.35x = 12,032.06 × 6,466.79
  4. Step 4: Simplify right side
    8,035.35x = 77,808,712.79
  5. Step 5: Solve for x
    x = 77,808,712.79/8,035.35
  6. Step 6: Final answer
    x = 9,683.30

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