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Finding the Fourth Proportional to 7,916.52, 11,872.74 and 2,368.42

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Solution

The fourth proportional to 7,916.52, 11,872.74 and 2,368.42 is: 3,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.52 : 11,872.74 = 2,368.42 : x
  2. Step 2: Convert to fraction form
    7,916.52/11,872.74 = 2,368.42/x
  3. Step 3: Cross multiply
    7,916.52x = 11,872.74 × 2,368.42
  4. Step 4: Simplify right side
    7,916.52x = 28,119,634.87
  5. Step 5: Solve for x
    x = 28,119,634.87/7,916.52
  6. Step 6: Final answer
    x = 3,552.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.