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Finding the Fourth Proportional to 7,774.14, 11,655.75 and 3,875.82

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Solution

The fourth proportional to 7,774.14, 11,655.75 and 3,875.82 is: 5,811.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.14 : 11,655.75 = 3,875.82 : x
  2. Step 2: Convert to fraction form
    7,774.14/11,655.75 = 3,875.82/x
  3. Step 3: Cross multiply
    7,774.14x = 11,655.75 × 3,875.82
  4. Step 4: Simplify right side
    7,774.14x = 45,175,588.97
  5. Step 5: Solve for x
    x = 45,175,588.97/7,774.14
  6. Step 6: Final answer
    x = 5,811.01

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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.