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Finding the Fourth Proportional to 11,522.51, 17,283.75 and 6,588.68

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Solution

The fourth proportional to 11,522.51, 17,283.75 and 6,588.68 is: 9,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.51 : 17,283.75 = 6,588.68 : x
  2. Step 2: Convert to fraction form
    11,522.51/17,283.75 = 6,588.68/x
  3. Step 3: Cross multiply
    11,522.51x = 17,283.75 × 6,588.68
  4. Step 4: Simplify right side
    11,522.51x = 113,877,097.95
  5. Step 5: Solve for x
    x = 113,877,097.95/11,522.51
  6. Step 6: Final answer
    x = 9,883.01

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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.