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Finding the Fourth Proportional to 7,666.06, 10,578.06 and 4,308.70

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Solution

The fourth proportional to 7,666.06, 10,578.06 and 4,308.70 is: 5,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.06 : 10,578.06 = 4,308.70 : x
  2. Step 2: Convert to fraction form
    7,666.06/10,578.06 = 4,308.70/x
  3. Step 3: Cross multiply
    7,666.06x = 10,578.06 × 4,308.70
  4. Step 4: Simplify right side
    7,666.06x = 45,577,687.12
  5. Step 5: Solve for x
    x = 45,577,687.12/7,666.06
  6. Step 6: Final answer
    x = 5,945.39

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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.