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Finding the Fourth Proportional to 7,818.32, 10,784.09 and 5,581.46

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Solution

The fourth proportional to 7,818.32, 10,784.09 and 5,581.46 is: 7,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.32 : 10,784.09 = 5,581.46 : x
  2. Step 2: Convert to fraction form
    7,818.32/10,784.09 = 5,581.46/x
  3. Step 3: Cross multiply
    7,818.32x = 10,784.09 × 5,581.46
  4. Step 4: Simplify right side
    7,818.32x = 60,190,885.14
  5. Step 5: Solve for x
    x = 60,190,885.14/7,818.32
  6. Step 6: Final answer
    x = 7,698.70

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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.