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Finding the Fourth Proportional to 11,403.94, 15,740.06 and 6,689.74

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Solution

The fourth proportional to 11,403.94, 15,740.06 and 6,689.74 is: 9,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.94 : 15,740.06 = 6,689.74 : x
  2. Step 2: Convert to fraction form
    11,403.94/15,740.06 = 6,689.74/x
  3. Step 3: Cross multiply
    11,403.94x = 15,740.06 × 6,689.74
  4. Step 4: Simplify right side
    11,403.94x = 105,296,908.98
  5. Step 5: Solve for x
    x = 105,296,908.98/11,403.94
  6. Step 6: Final answer
    x = 9,233.38

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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.