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Finding the Fourth Proportional to 10,604.71, 15,896.13 and 4,762.99

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Solution

The fourth proportional to 10,604.71, 15,896.13 and 4,762.99 is: 7,139.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.71 : 15,896.13 = 4,762.99 : x
  2. Step 2: Convert to fraction form
    10,604.71/15,896.13 = 4,762.99/x
  3. Step 3: Cross multiply
    10,604.71x = 15,896.13 × 4,762.99
  4. Step 4: Simplify right side
    10,604.71x = 75,713,108.23
  5. Step 5: Solve for x
    x = 75,713,108.23/10,604.71
  6. Step 6: Final answer
    x = 7,139.57

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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.