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Finding the Fourth Proportional to 11,530.53, 15,913.33 and 7,057.26

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Solution

The fourth proportional to 11,530.53, 15,913.33 and 7,057.26 is: 9,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.53 : 15,913.33 = 7,057.26 : x
  2. Step 2: Convert to fraction form
    11,530.53/15,913.33 = 7,057.26/x
  3. Step 3: Cross multiply
    11,530.53x = 15,913.33 × 7,057.26
  4. Step 4: Simplify right side
    11,530.53x = 112,304,507.28
  5. Step 5: Solve for x
    x = 112,304,507.28/11,530.53
  6. Step 6: Final answer
    x = 9,739.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.