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Finding the Fourth Proportional to 8,466.16, 11,656.80 and 7,688.56

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Solution

The fourth proportional to 8,466.16, 11,656.80 and 7,688.56 is: 10,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.16 : 11,656.80 = 7,688.56 : x
  2. Step 2: Convert to fraction form
    8,466.16/11,656.80 = 7,688.56/x
  3. Step 3: Cross multiply
    8,466.16x = 11,656.80 × 7,688.56
  4. Step 4: Simplify right side
    8,466.16x = 89,624,006.21
  5. Step 5: Solve for x
    x = 89,624,006.21/8,466.16
  6. Step 6: Final answer
    x = 10,586.15

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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.