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Finding the Fourth Proportional to 7,832.42, 10,802.44 and 6,886.19

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Solution

The fourth proportional to 7,832.42, 10,802.44 and 6,886.19 is: 9,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.42 : 10,802.44 = 6,886.19 : x
  2. Step 2: Convert to fraction form
    7,832.42/10,802.44 = 6,886.19/x
  3. Step 3: Cross multiply
    7,832.42x = 10,802.44 × 6,886.19
  4. Step 4: Simplify right side
    7,832.42x = 74,387,608.90
  5. Step 5: Solve for x
    x = 74,387,608.90/7,832.42
  6. Step 6: Final answer
    x = 9,497.40

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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.