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Finding the Fourth Proportional to 7,774.48, 11,661.60 and 1,931.14

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Solution

The fourth proportional to 7,774.48, 11,661.60 and 1,931.14 is: 2,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.48 : 11,661.60 = 1,931.14 : x
  2. Step 2: Convert to fraction form
    7,774.48/11,661.60 = 1,931.14/x
  3. Step 3: Cross multiply
    7,774.48x = 11,661.60 × 1,931.14
  4. Step 4: Simplify right side
    7,774.48x = 22,520,182.22
  5. Step 5: Solve for x
    x = 22,520,182.22/7,774.48
  6. Step 6: Final answer
    x = 2,896.68

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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.