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Finding the Fourth Proportional to 7,717.41, 10,646.15 and 5,064.45

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Solution

The fourth proportional to 7,717.41, 10,646.15 and 5,064.45 is: 6,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.41 : 10,646.15 = 5,064.45 : x
  2. Step 2: Convert to fraction form
    7,717.41/10,646.15 = 5,064.45/x
  3. Step 3: Cross multiply
    7,717.41x = 10,646.15 × 5,064.45
  4. Step 4: Simplify right side
    7,717.41x = 53,916,869.05
  5. Step 5: Solve for x
    x = 53,916,869.05/7,717.41
  6. Step 6: Final answer
    x = 6,986.39

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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.