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Finding the Fourth Proportional to 11,365.60, 15,684.40 and 6,329.76

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Solution

The fourth proportional to 11,365.60, 15,684.40 and 6,329.76 is: 8,735.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.60 : 15,684.40 = 6,329.76 : x
  2. Step 2: Convert to fraction form
    11,365.60/15,684.40 = 6,329.76/x
  3. Step 3: Cross multiply
    11,365.60x = 15,684.40 × 6,329.76
  4. Step 4: Simplify right side
    11,365.60x = 99,278,487.74
  5. Step 5: Solve for x
    x = 99,278,487.74/11,365.60
  6. Step 6: Final answer
    x = 8,735.00

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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.