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Finding the Fourth Proportional to 10,069.96, 15,103.02 and 3,913.16

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Solution

The fourth proportional to 10,069.96, 15,103.02 and 3,913.16 is: 5,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.96 : 15,103.02 = 3,913.16 : x
  2. Step 2: Convert to fraction form
    10,069.96/15,103.02 = 3,913.16/x
  3. Step 3: Cross multiply
    10,069.96x = 15,103.02 × 3,913.16
  4. Step 4: Simplify right side
    10,069.96x = 59,100,533.74
  5. Step 5: Solve for x
    x = 59,100,533.74/10,069.96
  6. Step 6: Final answer
    x = 5,868.99

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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.