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Finding the Fourth Proportional to 10,406.28, 15,607.12 and 3,009.12

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Solution

The fourth proportional to 10,406.28, 15,607.12 and 3,009.12 is: 4,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.28 : 15,607.12 = 3,009.12 : x
  2. Step 2: Convert to fraction form
    10,406.28/15,607.12 = 3,009.12/x
  3. Step 3: Cross multiply
    10,406.28x = 15,607.12 × 3,009.12
  4. Step 4: Simplify right side
    10,406.28x = 46,963,696.93
  5. Step 5: Solve for x
    x = 46,963,696.93/10,406.28
  6. Step 6: Final answer
    x = 4,513.01

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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.