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Finding the Fourth Proportional to 10,492.20, 15,737.04 and 3,916.62

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Solution

The fourth proportional to 10,492.20, 15,737.04 and 3,916.62 is: 5,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.20 : 15,737.04 = 3,916.62 : x
  2. Step 2: Convert to fraction form
    10,492.20/15,737.04 = 3,916.62/x
  3. Step 3: Cross multiply
    10,492.20x = 15,737.04 × 3,916.62
  4. Step 4: Simplify right side
    10,492.20x = 61,636,005.60
  5. Step 5: Solve for x
    x = 61,636,005.60/10,492.20
  6. Step 6: Final answer
    x = 5,874.46

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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.