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Finding the Fourth Proportional to 11,381.90, 15,707.07 and 6,346.10

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Solution

The fourth proportional to 11,381.90, 15,707.07 and 6,346.10 is: 8,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.90 : 15,707.07 = 6,346.10 : x
  2. Step 2: Convert to fraction form
    11,381.90/15,707.07 = 6,346.10/x
  3. Step 3: Cross multiply
    11,381.90x = 15,707.07 × 6,346.10
  4. Step 4: Simplify right side
    11,381.90x = 99,678,636.93
  5. Step 5: Solve for x
    x = 99,678,636.93/11,381.90
  6. Step 6: Final answer
    x = 8,757.64

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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.