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Finding the Fourth Proportional to 11,812.42, 17,720.80 and 4,887.46

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Solution

The fourth proportional to 11,812.42, 17,720.80 and 4,887.46 is: 7,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.42 : 17,720.80 = 4,887.46 : x
  2. Step 2: Convert to fraction form
    11,812.42/17,720.80 = 4,887.46/x
  3. Step 3: Cross multiply
    11,812.42x = 17,720.80 × 4,887.46
  4. Step 4: Simplify right side
    11,812.42x = 86,609,701.17
  5. Step 5: Solve for x
    x = 86,609,701.17/11,812.42
  6. Step 6: Final answer
    x = 7,332.09

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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.