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Finding the Fourth Proportional to 8,466.50, 11,685.12 and 4,931.66

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Solution

The fourth proportional to 8,466.50, 11,685.12 and 4,931.66 is: 6,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.50 : 11,685.12 = 4,931.66 : x
  2. Step 2: Convert to fraction form
    8,466.50/11,685.12 = 4,931.66/x
  3. Step 3: Cross multiply
    8,466.50x = 11,685.12 × 4,931.66
  4. Step 4: Simplify right side
    8,466.50x = 57,627,038.90
  5. Step 5: Solve for x
    x = 57,627,038.90/8,466.50
  6. Step 6: Final answer
    x = 6,806.48

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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.