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Finding the Fourth Proportional to 10,596.34, 15,875.13 and 4,963.67

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Solution

The fourth proportional to 10,596.34, 15,875.13 and 4,963.67 is: 7,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.34 : 15,875.13 = 4,963.67 : x
  2. Step 2: Convert to fraction form
    10,596.34/15,875.13 = 4,963.67/x
  3. Step 3: Cross multiply
    10,596.34x = 15,875.13 × 4,963.67
  4. Step 4: Simplify right side
    10,596.34x = 78,798,906.53
  5. Step 5: Solve for x
    x = 78,798,906.53/10,596.34
  6. Step 6: Final answer
    x = 7,436.43

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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.