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Finding the Fourth Proportional to 10,402.09, 15,602.53 and 3,006.39

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Solution

The fourth proportional to 10,402.09, 15,602.53 and 3,006.39 is: 4,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.09 : 15,602.53 = 3,006.39 : x
  2. Step 2: Convert to fraction form
    10,402.09/15,602.53 = 3,006.39/x
  3. Step 3: Cross multiply
    10,402.09x = 15,602.53 × 3,006.39
  4. Step 4: Simplify right side
    10,402.09x = 46,907,224.14
  5. Step 5: Solve for x
    x = 46,907,224.14/10,402.09
  6. Step 6: Final answer
    x = 4,509.40

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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.