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Finding the Fourth Proportional to 7,671.26, 11,506.62 and 2,477

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Solution

The fourth proportional to 7,671.26, 11,506.62 and 2,477 is: 3,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.26 : 11,506.62 = 2,477 : x
  2. Step 2: Convert to fraction form
    7,671.26/11,506.62 = 2,477/x
  3. Step 3: Cross multiply
    7,671.26x = 11,506.62 × 2,477
  4. Step 4: Simplify right side
    7,671.26x = 28,501,897.74
  5. Step 5: Solve for x
    x = 28,501,897.74/7,671.26
  6. Step 6: Final answer
    x = 3,715.41

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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.