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Finding the Fourth Proportional to 7,783.04, 11,672.44 and 2,588.24

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Solution

The fourth proportional to 7,783.04, 11,672.44 and 2,588.24 is: 3,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.04 : 11,672.44 = 2,588.24 : x
  2. Step 2: Convert to fraction form
    7,783.04/11,672.44 = 2,588.24/x
  3. Step 3: Cross multiply
    7,783.04x = 11,672.44 × 2,588.24
  4. Step 4: Simplify right side
    7,783.04x = 30,211,076.11
  5. Step 5: Solve for x
    x = 30,211,076.11/7,783.04
  6. Step 6: Final answer
    x = 3,881.65

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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.