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Finding the Fourth Proportional to 7,663.01, 10,580.86 and 6,177.56

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Solution

The fourth proportional to 7,663.01, 10,580.86 and 6,177.56 is: 8,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.01 : 10,580.86 = 6,177.56 : x
  2. Step 2: Convert to fraction form
    7,663.01/10,580.86 = 6,177.56/x
  3. Step 3: Cross multiply
    7,663.01x = 10,580.86 × 6,177.56
  4. Step 4: Simplify right side
    7,663.01x = 65,363,897.50
  5. Step 5: Solve for x
    x = 65,363,897.50/7,663.01
  6. Step 6: Final answer
    x = 8,529.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.