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Finding the Fourth Proportional to 10,406.41, 15,607.05 and 3,009.22

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Solution

The fourth proportional to 10,406.41, 15,607.05 and 3,009.22 is: 4,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.41 : 15,607.05 = 3,009.22 : x
  2. Step 2: Convert to fraction form
    10,406.41/15,607.05 = 3,009.22/x
  3. Step 3: Cross multiply
    10,406.41x = 15,607.05 × 3,009.22
  4. Step 4: Simplify right side
    10,406.41x = 46,965,047.00
  5. Step 5: Solve for x
    x = 46,965,047.00/10,406.41
  6. Step 6: Final answer
    x = 4,513.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.