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Finding the Fourth Proportional to 7,707.61, 11,558.58 and 2,775.93

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Solution

The fourth proportional to 7,707.61, 11,558.58 and 2,775.93 is: 4,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.61 : 11,558.58 = 2,775.93 : x
  2. Step 2: Convert to fraction form
    7,707.61/11,558.58 = 2,775.93/x
  3. Step 3: Cross multiply
    7,707.61x = 11,558.58 × 2,775.93
  4. Step 4: Simplify right side
    7,707.61x = 32,085,808.98
  5. Step 5: Solve for x
    x = 32,085,808.98/7,707.61
  6. Step 6: Final answer
    x = 4,162.87

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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.