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Finding the Fourth Proportional to 10,381.54, 15,573.52 and 4,537.38

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Solution

The fourth proportional to 10,381.54, 15,573.52 and 4,537.38 is: 6,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.54 : 15,573.52 = 4,537.38 : x
  2. Step 2: Convert to fraction form
    10,381.54/15,573.52 = 4,537.38/x
  3. Step 3: Cross multiply
    10,381.54x = 15,573.52 × 4,537.38
  4. Step 4: Simplify right side
    10,381.54x = 70,662,978.18
  5. Step 5: Solve for x
    x = 70,662,978.18/10,381.54
  6. Step 6: Final answer
    x = 6,806.60

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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.