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Finding the Fourth Proportional to 7,777.82, 11,668.55 and 6,615.78

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Solution

The fourth proportional to 7,777.82, 11,668.55 and 6,615.78 is: 9,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.82 : 11,668.55 = 6,615.78 : x
  2. Step 2: Convert to fraction form
    7,777.82/11,668.55 = 6,615.78/x
  3. Step 3: Cross multiply
    7,777.82x = 11,668.55 × 6,615.78
  4. Step 4: Simplify right side
    7,777.82x = 77,196,526.64
  5. Step 5: Solve for x
    x = 77,196,526.64/7,777.82
  6. Step 6: Final answer
    x = 9,925.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.