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Finding the Fourth Proportional to 7,858.20, 11,773.62 and 6,557.88

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Solution

The fourth proportional to 7,858.20, 11,773.62 and 6,557.88 is: 9,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.20 : 11,773.62 = 6,557.88 : x
  2. Step 2: Convert to fraction form
    7,858.20/11,773.62 = 6,557.88/x
  3. Step 3: Cross multiply
    7,858.20x = 11,773.62 × 6,557.88
  4. Step 4: Simplify right side
    7,858.20x = 77,209,987.13
  5. Step 5: Solve for x
    x = 77,209,987.13/7,858.20
  6. Step 6: Final answer
    x = 9,825.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.