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Finding the Fourth Proportional to 7,670.13, 11,505.16 and 2,405.53

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Solution

The fourth proportional to 7,670.13, 11,505.16 and 2,405.53 is: 3,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.13 : 11,505.16 = 2,405.53 : x
  2. Step 2: Convert to fraction form
    7,670.13/11,505.16 = 2,405.53/x
  3. Step 3: Cross multiply
    7,670.13x = 11,505.16 × 2,405.53
  4. Step 4: Simplify right side
    7,670.13x = 27,676,007.53
  5. Step 5: Solve for x
    x = 27,676,007.53/7,670.13
  6. Step 6: Final answer
    x = 3,608.28

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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.