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Finding the Fourth Proportional to 7,617.65, 11,420.80 and 5,145.53

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Solution

The fourth proportional to 7,617.65, 11,420.80 and 5,145.53 is: 7,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.65 : 11,420.80 = 5,145.53 : x
  2. Step 2: Convert to fraction form
    7,617.65/11,420.80 = 5,145.53/x
  3. Step 3: Cross multiply
    7,617.65x = 11,420.80 × 5,145.53
  4. Step 4: Simplify right side
    7,617.65x = 58,765,999.06
  5. Step 5: Solve for x
    x = 58,765,999.06/7,617.65
  6. Step 6: Final answer
    x = 7,714.46

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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.