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Finding the Fourth Proportional to 11,534.52, 17,307.26 and 6,863.76

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Solution

The fourth proportional to 11,534.52, 17,307.26 and 6,863.76 is: 10,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.52 : 17,307.26 = 6,863.76 : x
  2. Step 2: Convert to fraction form
    11,534.52/17,307.26 = 6,863.76/x
  3. Step 3: Cross multiply
    11,534.52x = 17,307.26 × 6,863.76
  4. Step 4: Simplify right side
    11,534.52x = 118,792,870.32
  5. Step 5: Solve for x
    x = 118,792,870.32/11,534.52
  6. Step 6: Final answer
    x = 10,298.90

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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.