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Finding the Fourth Proportional to 11,507.87, 15,875.93 and 7,522.07

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Solution

The fourth proportional to 11,507.87, 15,875.93 and 7,522.07 is: 10,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.87 : 15,875.93 = 7,522.07 : x
  2. Step 2: Convert to fraction form
    11,507.87/15,875.93 = 7,522.07/x
  3. Step 3: Cross multiply
    11,507.87x = 15,875.93 × 7,522.07
  4. Step 4: Simplify right side
    11,507.87x = 119,419,796.20
  5. Step 5: Solve for x
    x = 119,419,796.20/11,507.87
  6. Step 6: Final answer
    x = 10,377.23

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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.