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Finding the Fourth Proportional to 12,803.61, 17,669.88 and 7,768.07

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Solution

The fourth proportional to 12,803.61, 17,669.88 and 7,768.07 is: 10,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.61 : 17,669.88 = 7,768.07 : x
  2. Step 2: Convert to fraction form
    12,803.61/17,669.88 = 7,768.07/x
  3. Step 3: Cross multiply
    12,803.61x = 17,669.88 × 7,768.07
  4. Step 4: Simplify right side
    12,803.61x = 137,260,776.38
  5. Step 5: Solve for x
    x = 137,260,776.38/12,803.61
  6. Step 6: Final answer
    x = 10,720.47

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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.