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Finding the Fourth Proportional to 11,382.51, 15,705.86 and 6,346.34

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Solution

The fourth proportional to 11,382.51, 15,705.86 and 6,346.34 is: 8,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.51 : 15,705.86 = 6,346.34 : x
  2. Step 2: Convert to fraction form
    11,382.51/15,705.86 = 6,346.34/x
  3. Step 3: Cross multiply
    11,382.51x = 15,705.86 × 6,346.34
  4. Step 4: Simplify right side
    11,382.51x = 99,674,727.55
  5. Step 5: Solve for x
    x = 99,674,727.55/11,382.51
  6. Step 6: Final answer
    x = 8,756.83

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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.