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Finding the Fourth Proportional to 10,537.54, 15,802.43 and 4,294.17

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Solution

The fourth proportional to 10,537.54, 15,802.43 and 4,294.17 is: 6,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.54 : 15,802.43 = 4,294.17 : x
  2. Step 2: Convert to fraction form
    10,537.54/15,802.43 = 4,294.17/x
  3. Step 3: Cross multiply
    10,537.54x = 15,802.43 × 4,294.17
  4. Step 4: Simplify right side
    10,537.54x = 67,858,320.83
  5. Step 5: Solve for x
    x = 67,858,320.83/10,537.54
  6. Step 6: Final answer
    x = 6,439.67

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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.