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Finding the Fourth Proportional to 12,737.44, 19,102.92 and 4,942

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Solution

The fourth proportional to 12,737.44, 19,102.92 and 4,942 is: 7,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.44 : 19,102.92 = 4,942 : x
  2. Step 2: Convert to fraction form
    12,737.44/19,102.92 = 4,942/x
  3. Step 3: Cross multiply
    12,737.44x = 19,102.92 × 4,942
  4. Step 4: Simplify right side
    12,737.44x = 94,406,630.64
  5. Step 5: Solve for x
    x = 94,406,630.64/12,737.44
  6. Step 6: Final answer
    x = 7,411.74

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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.