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Finding the Fourth Proportional to 7,774.79, 11,655.09 and 2,840.94

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Solution

The fourth proportional to 7,774.79, 11,655.09 and 2,840.94 is: 4,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.79 : 11,655.09 = 2,840.94 : x
  2. Step 2: Convert to fraction form
    7,774.79/11,655.09 = 2,840.94/x
  3. Step 3: Cross multiply
    7,774.79x = 11,655.09 × 2,840.94
  4. Step 4: Simplify right side
    7,774.79x = 33,111,411.38
  5. Step 5: Solve for x
    x = 33,111,411.38/7,774.79
  6. Step 6: Final answer
    x = 4,258.82

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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.