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Finding the Fourth Proportional to 10,503.29, 15,754.82 and 4,261.82

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Solution

The fourth proportional to 10,503.29, 15,754.82 and 4,261.82 is: 6,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.29 : 15,754.82 = 4,261.82 : x
  2. Step 2: Convert to fraction form
    10,503.29/15,754.82 = 4,261.82/x
  3. Step 3: Cross multiply
    10,503.29x = 15,754.82 × 4,261.82
  4. Step 4: Simplify right side
    10,503.29x = 67,144,106.89
  5. Step 5: Solve for x
    x = 67,144,106.89/10,503.29
  6. Step 6: Final answer
    x = 6,392.68

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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.