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Finding the Fourth Proportional to 7,709.61, 11,561.58 and 2,777.93

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Solution

The fourth proportional to 7,709.61, 11,561.58 and 2,777.93 is: 4,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.61 : 11,561.58 = 2,777.93 : x
  2. Step 2: Convert to fraction form
    7,709.61/11,561.58 = 2,777.93/x
  3. Step 3: Cross multiply
    7,709.61x = 11,561.58 × 2,777.93
  4. Step 4: Simplify right side
    7,709.61x = 32,117,259.93
  5. Step 5: Solve for x
    x = 32,117,259.93/7,709.61
  6. Step 6: Final answer
    x = 4,165.87

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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.