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Finding the Fourth Proportional to 10,033, 13,845.56 and 5,617

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Solution

The fourth proportional to 10,033, 13,845.56 and 5,617 is: 7,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 13,845.56 = 5,617 : x
  2. Step 2: Convert to fraction form
    10,033/13,845.56 = 5,617/x
  3. Step 3: Cross multiply
    10,033x = 13,845.56 × 5,617
  4. Step 4: Simplify right side
    10,033x = 77,770,510.52
  5. Step 5: Solve for x
    x = 77,770,510.52/10,033
  6. Step 6: Final answer
    x = 7,751.47

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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.