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Finding the Fourth Proportional to 11,364.57, 15,684.44 and 6,648.75

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Solution

The fourth proportional to 11,364.57, 15,684.44 and 6,648.75 is: 9,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.57 : 15,684.44 = 6,648.75 : x
  2. Step 2: Convert to fraction form
    11,364.57/15,684.44 = 6,648.75/x
  3. Step 3: Cross multiply
    11,364.57x = 15,684.44 × 6,648.75
  4. Step 4: Simplify right side
    11,364.57x = 104,281,887.21
  5. Step 5: Solve for x
    x = 104,281,887.21/11,364.57
  6. Step 6: Final answer
    x = 9,176.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.