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Finding the Fourth Proportional to 10,344.30, 15,510.78 and 4,104.06

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Solution

The fourth proportional to 10,344.30, 15,510.78 and 4,104.06 is: 6,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.30 : 15,510.78 = 4,104.06 : x
  2. Step 2: Convert to fraction form
    10,344.30/15,510.78 = 4,104.06/x
  3. Step 3: Cross multiply
    10,344.30x = 15,510.78 × 4,104.06
  4. Step 4: Simplify right side
    10,344.30x = 63,657,171.77
  5. Step 5: Solve for x
    x = 63,657,171.77/10,344.30
  6. Step 6: Final answer
    x = 6,153.84

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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.