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Finding the Fourth Proportional to 10,283.52, 15,426 and 5,088

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Solution

The fourth proportional to 10,283.52, 15,426 and 5,088 is: 7,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.52 : 15,426 = 5,088 : x
  2. Step 2: Convert to fraction form
    10,283.52/15,426 = 5,088/x
  3. Step 3: Cross multiply
    10,283.52x = 15,426 × 5,088
  4. Step 4: Simplify right side
    10,283.52x = 78,487,488
  5. Step 5: Solve for x
    x = 78,487,488/10,283.52
  6. Step 6: Final answer
    x = 7,632.36

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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.