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Finding the Fourth Proportional to 7,354.26, 10,141.96 and 5,673

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Solution

The fourth proportional to 7,354.26, 10,141.96 and 5,673 is: 7,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.26 : 10,141.96 = 5,673 : x
  2. Step 2: Convert to fraction form
    7,354.26/10,141.96 = 5,673/x
  3. Step 3: Cross multiply
    7,354.26x = 10,141.96 × 5,673
  4. Step 4: Simplify right side
    7,354.26x = 57,535,339.08
  5. Step 5: Solve for x
    x = 57,535,339.08/7,354.26
  6. Step 6: Final answer
    x = 7,823.40

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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.