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Finding the Fourth Proportional to 7,774.32, 10,698.30 and 6,891.96

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Solution

The fourth proportional to 7,774.32, 10,698.30 and 6,891.96 is: 9,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.32 : 10,698.30 = 6,891.96 : x
  2. Step 2: Convert to fraction form
    7,774.32/10,698.30 = 6,891.96/x
  3. Step 3: Cross multiply
    7,774.32x = 10,698.30 × 6,891.96
  4. Step 4: Simplify right side
    7,774.32x = 73,732,255.67
  5. Step 5: Solve for x
    x = 73,732,255.67/7,774.32
  6. Step 6: Final answer
    x = 9,484.08

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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.