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Finding the Fourth Proportional to 11,341.44, 15,646.74 and 8,364.42

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Solution

The fourth proportional to 11,341.44, 15,646.74 and 8,364.42 is: 11,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.44 : 15,646.74 = 8,364.42 : x
  2. Step 2: Convert to fraction form
    11,341.44/15,646.74 = 8,364.42/x
  3. Step 3: Cross multiply
    11,341.44x = 15,646.74 × 8,364.42
  4. Step 4: Simplify right side
    11,341.44x = 130,875,904.99
  5. Step 5: Solve for x
    x = 130,875,904.99/11,341.44
  6. Step 6: Final answer
    x = 11,539.62

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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.