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Finding the Fourth Proportional to 10,675.91, 15,992.43 and 9,803.95

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Solution

The fourth proportional to 10,675.91, 15,992.43 and 9,803.95 is: 14,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.91 : 15,992.43 = 9,803.95 : x
  2. Step 2: Convert to fraction form
    10,675.91/15,992.43 = 9,803.95/x
  3. Step 3: Cross multiply
    10,675.91x = 15,992.43 × 9,803.95
  4. Step 4: Simplify right side
    10,675.91x = 156,788,984.10
  5. Step 5: Solve for x
    x = 156,788,984.10/10,675.91
  6. Step 6: Final answer
    x = 14,686.25

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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.