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Finding the Fourth Proportional to 7,775.90, 11,654.13 and 6,125.93

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Solution

The fourth proportional to 7,775.90, 11,654.13 and 6,125.93 is: 9,181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.90 : 11,654.13 = 6,125.93 : x
  2. Step 2: Convert to fraction form
    7,775.90/11,654.13 = 6,125.93/x
  3. Step 3: Cross multiply
    7,775.90x = 11,654.13 × 6,125.93
  4. Step 4: Simplify right side
    7,775.90x = 71,392,384.59
  5. Step 5: Solve for x
    x = 71,392,384.59/7,775.90
  6. Step 6: Final answer
    x = 9,181.24

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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.