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Finding the Fourth Proportional to 12,141, 16,754.53 and 6,763.50

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Solution

The fourth proportional to 12,141, 16,754.53 and 6,763.50 is: 9,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 16,754.53 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    12,141/16,754.53 = 6,763.50/x
  3. Step 3: Cross multiply
    12,141x = 16,754.53 × 6,763.50
  4. Step 4: Simplify right side
    12,141x = 113,319,263.66
  5. Step 5: Solve for x
    x = 113,319,263.66/12,141
  6. Step 6: Final answer
    x = 9,333.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.