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Finding the Fourth Proportional to 10,048.22, 15,071.03 and 2,653.23

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Solution

The fourth proportional to 10,048.22, 15,071.03 and 2,653.23 is: 3,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.22 : 15,071.03 = 2,653.23 : x
  2. Step 2: Convert to fraction form
    10,048.22/15,071.03 = 2,653.23/x
  3. Step 3: Cross multiply
    10,048.22x = 15,071.03 × 2,653.23
  4. Step 4: Simplify right side
    10,048.22x = 39,986,908.93
  5. Step 5: Solve for x
    x = 39,986,908.93/10,048.22
  6. Step 6: Final answer
    x = 3,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.