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Finding the Fourth Proportional to 7,656.39, 11,490.05 and 3,763.53

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Solution

The fourth proportional to 7,656.39, 11,490.05 and 3,763.53 is: 5,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.39 : 11,490.05 = 3,763.53 : x
  2. Step 2: Convert to fraction form
    7,656.39/11,490.05 = 3,763.53/x
  3. Step 3: Cross multiply
    7,656.39x = 11,490.05 × 3,763.53
  4. Step 4: Simplify right side
    7,656.39x = 43,243,157.29
  5. Step 5: Solve for x
    x = 43,243,157.29/7,656.39
  6. Step 6: Final answer
    x = 5,647.98

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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.