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Finding the Fourth Proportional to 7,746.71, 11,561.49 and 6,999.35

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Solution

The fourth proportional to 7,746.71, 11,561.49 and 6,999.35 is: 10,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.71 : 11,561.49 = 6,999.35 : x
  2. Step 2: Convert to fraction form
    7,746.71/11,561.49 = 6,999.35/x
  3. Step 3: Cross multiply
    7,746.71x = 11,561.49 × 6,999.35
  4. Step 4: Simplify right side
    7,746.71x = 80,922,857.22
  5. Step 5: Solve for x
    x = 80,922,857.22/7,746.71
  6. Step 6: Final answer
    x = 10,446.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.