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Finding the Fourth Proportional to 7,841.94, 10,818.88 and 5,009.42

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Solution

The fourth proportional to 7,841.94, 10,818.88 and 5,009.42 is: 6,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.94 : 10,818.88 = 5,009.42 : x
  2. Step 2: Convert to fraction form
    7,841.94/10,818.88 = 5,009.42/x
  3. Step 3: Cross multiply
    7,841.94x = 10,818.88 × 5,009.42
  4. Step 4: Simplify right side
    7,841.94x = 54,196,313.85
  5. Step 5: Solve for x
    x = 54,196,313.85/7,841.94
  6. Step 6: Final answer
    x = 6,911.08

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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.