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Finding the Fourth Proportional to 11,520.63, 15,897.06 and 6,804

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Solution

The fourth proportional to 11,520.63, 15,897.06 and 6,804 is: 9,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.63 : 15,897.06 = 6,804 : x
  2. Step 2: Convert to fraction form
    11,520.63/15,897.06 = 6,804/x
  3. Step 3: Cross multiply
    11,520.63x = 15,897.06 × 6,804
  4. Step 4: Simplify right side
    11,520.63x = 108,163,596.24
  5. Step 5: Solve for x
    x = 108,163,596.24/11,520.63
  6. Step 6: Final answer
    x = 9,388.69

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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.