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Finding the Fourth Proportional to 10,924.93, 15,076.52 and 6,208.39

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Solution

The fourth proportional to 10,924.93, 15,076.52 and 6,208.39 is: 8,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.93 : 15,076.52 = 6,208.39 : x
  2. Step 2: Convert to fraction form
    10,924.93/15,076.52 = 6,208.39/x
  3. Step 3: Cross multiply
    10,924.93x = 15,076.52 × 6,208.39
  4. Step 4: Simplify right side
    10,924.93x = 93,600,916.00
  5. Step 5: Solve for x
    x = 93,600,916.00/10,924.93
  6. Step 6: Final answer
    x = 8,567.64

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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.