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Finding the Fourth Proportional to 10,209.79, 15,284.94 and 7,588.90

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Solution

The fourth proportional to 10,209.79, 15,284.94 and 7,588.90 is: 11,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.79 : 15,284.94 = 7,588.90 : x
  2. Step 2: Convert to fraction form
    10,209.79/15,284.94 = 7,588.90/x
  3. Step 3: Cross multiply
    10,209.79x = 15,284.94 × 7,588.90
  4. Step 4: Simplify right side
    10,209.79x = 115,995,881.17
  5. Step 5: Solve for x
    x = 115,995,881.17/10,209.79
  6. Step 6: Final answer
    x = 11,361.24

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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.