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Finding the Fourth Proportional to 10,407.30, 15,608.51 and 3,009.77

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Solution

The fourth proportional to 10,407.30, 15,608.51 and 3,009.77 is: 4,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.30 : 15,608.51 = 3,009.77 : x
  2. Step 2: Convert to fraction form
    10,407.30/15,608.51 = 3,009.77/x
  3. Step 3: Cross multiply
    10,407.30x = 15,608.51 × 3,009.77
  4. Step 4: Simplify right side
    10,407.30x = 46,978,025.14
  5. Step 5: Solve for x
    x = 46,978,025.14/10,407.30
  6. Step 6: Final answer
    x = 4,513.95

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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.