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Finding the Fourth Proportional to 10,423.08, 14,386.08 and 6,645.38

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Solution

The fourth proportional to 10,423.08, 14,386.08 and 6,645.38 is: 9,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.08 : 14,386.08 = 6,645.38 : x
  2. Step 2: Convert to fraction form
    10,423.08/14,386.08 = 6,645.38/x
  3. Step 3: Cross multiply
    10,423.08x = 14,386.08 × 6,645.38
  4. Step 4: Simplify right side
    10,423.08x = 95,600,896.38
  5. Step 5: Solve for x
    x = 95,600,896.38/10,423.08
  6. Step 6: Final answer
    x = 9,172.04

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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.