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Finding the Fourth Proportional to 10,833.45, 16,248.78 and 4,596

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Solution

The fourth proportional to 10,833.45, 16,248.78 and 4,596 is: 6,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.45 : 16,248.78 = 4,596 : x
  2. Step 2: Convert to fraction form
    10,833.45/16,248.78 = 4,596/x
  3. Step 3: Cross multiply
    10,833.45x = 16,248.78 × 4,596
  4. Step 4: Simplify right side
    10,833.45x = 74,679,392.88
  5. Step 5: Solve for x
    x = 74,679,392.88/10,833.45
  6. Step 6: Final answer
    x = 6,893.41

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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.