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Finding the Fourth Proportional to 10,208.88, 15,300.52 and 4,358.64

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Solution

The fourth proportional to 10,208.88, 15,300.52 and 4,358.64 is: 6,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.88 : 15,300.52 = 4,358.64 : x
  2. Step 2: Convert to fraction form
    10,208.88/15,300.52 = 4,358.64/x
  3. Step 3: Cross multiply
    10,208.88x = 15,300.52 × 4,358.64
  4. Step 4: Simplify right side
    10,208.88x = 66,689,458.49
  5. Step 5: Solve for x
    x = 66,689,458.49/10,208.88
  6. Step 6: Final answer
    x = 6,532.50

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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.