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Finding the Fourth Proportional to 10,703.92, 14,772 and 5,988.64

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Solution

The fourth proportional to 10,703.92, 14,772 and 5,988.64 is: 8,264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.92 : 14,772 = 5,988.64 : x
  2. Step 2: Convert to fraction form
    10,703.92/14,772 = 5,988.64/x
  3. Step 3: Cross multiply
    10,703.92x = 14,772 × 5,988.64
  4. Step 4: Simplify right side
    10,703.92x = 88,464,190.08
  5. Step 5: Solve for x
    x = 88,464,190.08/10,703.92
  6. Step 6: Final answer
    x = 8,264.65

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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.