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Finding the Fourth Proportional to 10,195.10, 14,069.94 and 5,658.01

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Solution

The fourth proportional to 10,195.10, 14,069.94 and 5,658.01 is: 7,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.10 : 14,069.94 = 5,658.01 : x
  2. Step 2: Convert to fraction form
    10,195.10/14,069.94 = 5,658.01/x
  3. Step 3: Cross multiply
    10,195.10x = 14,069.94 × 5,658.01
  4. Step 4: Simplify right side
    10,195.10x = 79,607,790.87
  5. Step 5: Solve for x
    x = 79,607,790.87/10,195.10
  6. Step 6: Final answer
    x = 7,808.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.