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Finding the Fourth Proportional to 7,656.86, 11,490.80 and 5,185.55

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Solution

The fourth proportional to 7,656.86, 11,490.80 and 5,185.55 is: 7,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.86 : 11,490.80 = 5,185.55 : x
  2. Step 2: Convert to fraction form
    7,656.86/11,490.80 = 5,185.55/x
  3. Step 3: Cross multiply
    7,656.86x = 11,490.80 × 5,185.55
  4. Step 4: Simplify right side
    7,656.86x = 59,586,120.74
  5. Step 5: Solve for x
    x = 59,586,120.74/7,656.86
  6. Step 6: Final answer
    x = 7,782.05

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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.