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Finding the Fourth Proportional to 10,602.35, 15,901.09 and 4,760.63

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Solution

The fourth proportional to 10,602.35, 15,901.09 and 4,760.63 is: 7,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.35 : 15,901.09 = 4,760.63 : x
  2. Step 2: Convert to fraction form
    10,602.35/15,901.09 = 4,760.63/x
  3. Step 3: Cross multiply
    10,602.35x = 15,901.09 × 4,760.63
  4. Step 4: Simplify right side
    10,602.35x = 75,699,114.68
  5. Step 5: Solve for x
    x = 75,699,114.68/10,602.35
  6. Step 6: Final answer
    x = 7,139.85

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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.