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Finding the Fourth Proportional to 11,702.64, 17,552.34 and 5,127.06

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Solution

The fourth proportional to 11,702.64, 17,552.34 and 5,127.06 is: 7,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.64 : 17,552.34 = 5,127.06 : x
  2. Step 2: Convert to fraction form
    11,702.64/17,552.34 = 5,127.06/x
  3. Step 3: Cross multiply
    11,702.64x = 17,552.34 × 5,127.06
  4. Step 4: Simplify right side
    11,702.64x = 89,991,900.32
  5. Step 5: Solve for x
    x = 89,991,900.32/11,702.64
  6. Step 6: Final answer
    x = 7,689.88

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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.