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Finding the Fourth Proportional to 10,415.33, 14,358.20 and 7,425.98

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Solution

The fourth proportional to 10,415.33, 14,358.20 and 7,425.98 is: 10,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.33 : 14,358.20 = 7,425.98 : x
  2. Step 2: Convert to fraction form
    10,415.33/14,358.20 = 7,425.98/x
  3. Step 3: Cross multiply
    10,415.33x = 14,358.20 × 7,425.98
  4. Step 4: Simplify right side
    10,415.33x = 106,623,760.50
  5. Step 5: Solve for x
    x = 106,623,760.50/10,415.33
  6. Step 6: Final answer
    x = 10,237.19

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