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Finding the Fourth Proportional to 7,774.90, 11,655.31 and 3,097.68

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Solution

The fourth proportional to 7,774.90, 11,655.31 and 3,097.68 is: 4,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.90 : 11,655.31 = 3,097.68 : x
  2. Step 2: Convert to fraction form
    7,774.90/11,655.31 = 3,097.68/x
  3. Step 3: Cross multiply
    7,774.90x = 11,655.31 × 3,097.68
  4. Step 4: Simplify right side
    7,774.90x = 36,104,420.68
  5. Step 5: Solve for x
    x = 36,104,420.68/7,774.90
  6. Step 6: Final answer
    x = 4,643.72

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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.