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Finding the Fourth Proportional to 7,561.80, 11,291.76 and 6,177.84

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Solution

The fourth proportional to 7,561.80, 11,291.76 and 6,177.84 is: 9,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.80 : 11,291.76 = 6,177.84 : x
  2. Step 2: Convert to fraction form
    7,561.80/11,291.76 = 6,177.84/x
  3. Step 3: Cross multiply
    7,561.80x = 11,291.76 × 6,177.84
  4. Step 4: Simplify right side
    7,561.80x = 69,758,686.60
  5. Step 5: Solve for x
    x = 69,758,686.60/7,561.80
  6. Step 6: Final answer
    x = 9,225.14

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