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Finding the Fourth Proportional to 7,561.79, 11,291.71 and 6,177.86

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Solution

The fourth proportional to 7,561.79, 11,291.71 and 6,177.86 is: 9,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.79 : 11,291.71 = 6,177.86 : x
  2. Step 2: Convert to fraction form
    7,561.79/11,291.71 = 6,177.86/x
  3. Step 3: Cross multiply
    7,561.79x = 11,291.71 × 6,177.86
  4. Step 4: Simplify right side
    7,561.79x = 69,758,531.64
  5. Step 5: Solve for x
    x = 69,758,531.64/7,561.79
  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.