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Finding the Fourth Proportional to 10,262.93, 15,381.63 and 4,710.38

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Solution

The fourth proportional to 10,262.93, 15,381.63 and 4,710.38 is: 7,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.93 : 15,381.63 = 4,710.38 : x
  2. Step 2: Convert to fraction form
    10,262.93/15,381.63 = 4,710.38/x
  3. Step 3: Cross multiply
    10,262.93x = 15,381.63 × 4,710.38
  4. Step 4: Simplify right side
    10,262.93x = 72,453,245.41
  5. Step 5: Solve for x
    x = 72,453,245.41/10,262.93
  6. Step 6: Final answer
    x = 7,059.71

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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.