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Finding the Fourth Proportional to 11,341.34, 15,651.37 and 6,865.90

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Solution

The fourth proportional to 11,341.34, 15,651.37 and 6,865.90 is: 9,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.34 : 15,651.37 = 6,865.90 : x
  2. Step 2: Convert to fraction form
    11,341.34/15,651.37 = 6,865.90/x
  3. Step 3: Cross multiply
    11,341.34x = 15,651.37 × 6,865.90
  4. Step 4: Simplify right side
    11,341.34x = 107,460,741.28
  5. Step 5: Solve for x
    x = 107,460,741.28/11,341.34
  6. Step 6: Final answer
    x = 9,475.14

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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.