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Finding the Fourth Proportional to 7,772.10, 11,658.15 and 7,310.40

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Solution

The fourth proportional to 7,772.10, 11,658.15 and 7,310.40 is: 10,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.10 : 11,658.15 = 7,310.40 : x
  2. Step 2: Convert to fraction form
    7,772.10/11,658.15 = 7,310.40/x
  3. Step 3: Cross multiply
    7,772.10x = 11,658.15 × 7,310.40
  4. Step 4: Simplify right side
    7,772.10x = 85,225,739.76
  5. Step 5: Solve for x
    x = 85,225,739.76/7,772.10
  6. Step 6: Final answer
    x = 10,965.60

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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.