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Finding the Fourth Proportional to 7,836.48, 10,808.64 and 5,186.16

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Solution

The fourth proportional to 7,836.48, 10,808.64 and 5,186.16 is: 7,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.48 : 10,808.64 = 5,186.16 : x
  2. Step 2: Convert to fraction form
    7,836.48/10,808.64 = 5,186.16/x
  3. Step 3: Cross multiply
    7,836.48x = 10,808.64 × 5,186.16
  4. Step 4: Simplify right side
    7,836.48x = 56,055,336.42
  5. Step 5: Solve for x
    x = 56,055,336.42/7,836.48
  6. Step 6: Final answer
    x = 7,153.13

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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.