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Finding the Fourth Proportional to 10,402.06, 15,600.01 and 3,006.59

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Solution

The fourth proportional to 10,402.06, 15,600.01 and 3,006.59 is: 4,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.06 : 15,600.01 = 3,006.59 : x
  2. Step 2: Convert to fraction form
    10,402.06/15,600.01 = 3,006.59/x
  3. Step 3: Cross multiply
    10,402.06x = 15,600.01 × 3,006.59
  4. Step 4: Simplify right side
    10,402.06x = 46,902,834.07
  5. Step 5: Solve for x
    x = 46,902,834.07/10,402.06
  6. Step 6: Final answer
    x = 4,508.99

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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.