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Finding the Fourth Proportional to 8,346.92, 11,534.10 and 5,985.32

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Solution

The fourth proportional to 8,346.92, 11,534.10 and 5,985.32 is: 8,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.92 : 11,534.10 = 5,985.32 : x
  2. Step 2: Convert to fraction form
    8,346.92/11,534.10 = 5,985.32/x
  3. Step 3: Cross multiply
    8,346.92x = 11,534.10 × 5,985.32
  4. Step 4: Simplify right side
    8,346.92x = 69,035,279.41
  5. Step 5: Solve for x
    x = 69,035,279.41/8,346.92
  6. Step 6: Final answer
    x = 8,270.75

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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.