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Finding the Fourth Proportional to 10,411.94, 15,607.89 and 3,834.54

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Solution

The fourth proportional to 10,411.94, 15,607.89 and 3,834.54 is: 5,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.94 : 15,607.89 = 3,834.54 : x
  2. Step 2: Convert to fraction form
    10,411.94/15,607.89 = 3,834.54/x
  3. Step 3: Cross multiply
    10,411.94x = 15,607.89 × 3,834.54
  4. Step 4: Simplify right side
    10,411.94x = 59,849,078.52
  5. Step 5: Solve for x
    x = 59,849,078.52/10,411.94
  6. Step 6: Final answer
    x = 5,748.12

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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.