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Finding the Fourth Proportional to 7,672.40, 11,506.98 and 2,475.44

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Solution

The fourth proportional to 7,672.40, 11,506.98 and 2,475.44 is: 3,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.40 : 11,506.98 = 2,475.44 : x
  2. Step 2: Convert to fraction form
    7,672.40/11,506.98 = 2,475.44/x
  3. Step 3: Cross multiply
    7,672.40x = 11,506.98 × 2,475.44
  4. Step 4: Simplify right side
    7,672.40x = 28,484,838.57
  5. Step 5: Solve for x
    x = 28,484,838.57/7,672.40
  6. Step 6: Final answer
    x = 3,712.64

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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.