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Finding the Fourth Proportional to 10,806.51, 14,913.40 and 6,090.69

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Solution

The fourth proportional to 10,806.51, 14,913.40 and 6,090.69 is: 8,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.51 : 14,913.40 = 6,090.69 : x
  2. Step 2: Convert to fraction form
    10,806.51/14,913.40 = 6,090.69/x
  3. Step 3: Cross multiply
    10,806.51x = 14,913.40 × 6,090.69
  4. Step 4: Simplify right side
    10,806.51x = 90,832,843.74
  5. Step 5: Solve for x
    x = 90,832,843.74/10,806.51
  6. Step 6: Final answer
    x = 8,405.38

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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.