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Finding the Fourth Proportional to 12,615.04, 17,406.12 and 7,309.54

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Solution

The fourth proportional to 12,615.04, 17,406.12 and 7,309.54 is: 10,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.04 : 17,406.12 = 7,309.54 : x
  2. Step 2: Convert to fraction form
    12,615.04/17,406.12 = 7,309.54/x
  3. Step 3: Cross multiply
    12,615.04x = 17,406.12 × 7,309.54
  4. Step 4: Simplify right side
    12,615.04x = 127,230,730.38
  5. Step 5: Solve for x
    x = 127,230,730.38/12,615.04
  6. Step 6: Final answer
    x = 10,085.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.