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Finding the Fourth Proportional to 6,389.69, 8,815.26 and 4,715.11

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Solution

The fourth proportional to 6,389.69, 8,815.26 and 4,715.11 is: 6,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.69 : 8,815.26 = 4,715.11 : x
  2. Step 2: Convert to fraction form
    6,389.69/8,815.26 = 4,715.11/x
  3. Step 3: Cross multiply
    6,389.69x = 8,815.26 × 4,715.11
  4. Step 4: Simplify right side
    6,389.69x = 41,564,949.28
  5. Step 5: Solve for x
    x = 41,564,949.28/6,389.69
  6. Step 6: Final answer
    x = 6,505.01

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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.