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Finding the Fourth Proportional to 11,708.21, 17,564.06 and 4,312.10

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Solution

The fourth proportional to 11,708.21, 17,564.06 and 4,312.10 is: 6,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.21 : 17,564.06 = 4,312.10 : x
  2. Step 2: Convert to fraction form
    11,708.21/17,564.06 = 4,312.10/x
  3. Step 3: Cross multiply
    11,708.21x = 17,564.06 × 4,312.10
  4. Step 4: Simplify right side
    11,708.21x = 75,737,983.13
  5. Step 5: Solve for x
    x = 75,737,983.13/11,708.21
  6. Step 6: Final answer
    x = 6,468.79

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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.