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Finding the Fourth Proportional to 7,669.16, 11,475.10 and 6,423.40

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Solution

The fourth proportional to 7,669.16, 11,475.10 and 6,423.40 is: 9,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.16 : 11,475.10 = 6,423.40 : x
  2. Step 2: Convert to fraction form
    7,669.16/11,475.10 = 6,423.40/x
  3. Step 3: Cross multiply
    7,669.16x = 11,475.10 × 6,423.40
  4. Step 4: Simplify right side
    7,669.16x = 73,709,157.34
  5. Step 5: Solve for x
    x = 73,709,157.34/7,669.16
  6. Step 6: Final answer
    x = 9,611.11

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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.