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Finding the Fourth Proportional to 10,225.40, 14,099.18 and 7,040.39

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Solution

The fourth proportional to 10,225.40, 14,099.18 and 7,040.39 is: 9,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.40 : 14,099.18 = 7,040.39 : x
  2. Step 2: Convert to fraction form
    10,225.40/14,099.18 = 7,040.39/x
  3. Step 3: Cross multiply
    10,225.40x = 14,099.18 × 7,040.39
  4. Step 4: Simplify right side
    10,225.40x = 99,263,620.18
  5. Step 5: Solve for x
    x = 99,263,620.18/10,225.40
  6. Step 6: Final answer
    x = 9,707.56

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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.