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Finding the Fourth Proportional to 10,900.53, 15,033.87 and 7,316.19

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Solution

The fourth proportional to 10,900.53, 15,033.87 and 7,316.19 is: 10,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.53 : 15,033.87 = 7,316.19 : x
  2. Step 2: Convert to fraction form
    10,900.53/15,033.87 = 7,316.19/x
  3. Step 3: Cross multiply
    10,900.53x = 15,033.87 × 7,316.19
  4. Step 4: Simplify right side
    10,900.53x = 109,990,649.36
  5. Step 5: Solve for x
    x = 109,990,649.36/10,900.53
  6. Step 6: Final answer
    x = 10,090.39

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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.