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Finding the Fourth Proportional to 7,772.16, 11,654.63 and 2,506.19

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Solution

The fourth proportional to 7,772.16, 11,654.63 and 2,506.19 is: 3,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.16 : 11,654.63 = 2,506.19 : x
  2. Step 2: Convert to fraction form
    7,772.16/11,654.63 = 2,506.19/x
  3. Step 3: Cross multiply
    7,772.16x = 11,654.63 × 2,506.19
  4. Step 4: Simplify right side
    7,772.16x = 29,208,646.36
  5. Step 5: Solve for x
    x = 29,208,646.36/7,772.16
  6. Step 6: Final answer
    x = 3,758.11

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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.