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Finding the Fourth Proportional to 7,156.42, 10,737.71 and 3,461.41

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Solution

The fourth proportional to 7,156.42, 10,737.71 and 3,461.41 is: 5,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.42 : 10,737.71 = 3,461.41 : x
  2. Step 2: Convert to fraction form
    7,156.42/10,737.71 = 3,461.41/x
  3. Step 3: Cross multiply
    7,156.42x = 10,737.71 × 3,461.41
  4. Step 4: Simplify right side
    7,156.42x = 37,167,616.77
  5. Step 5: Solve for x
    x = 37,167,616.77/7,156.42
  6. Step 6: Final answer
    x = 5,193.60

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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.