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Finding the Fourth Proportional to 12,059.76, 16,643.40 and 6,756.36

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Solution

The fourth proportional to 12,059.76, 16,643.40 and 6,756.36 is: 9,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.76 : 16,643.40 = 6,756.36 : x
  2. Step 2: Convert to fraction form
    12,059.76/16,643.40 = 6,756.36/x
  3. Step 3: Cross multiply
    12,059.76x = 16,643.40 × 6,756.36
  4. Step 4: Simplify right side
    12,059.76x = 112,448,802.02
  5. Step 5: Solve for x
    x = 112,448,802.02/12,059.76
  6. Step 6: Final answer
    x = 9,324.30

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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.