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Finding the Fourth Proportional to 10,415.18, 14,358.00 and 7,425.83

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Solution

The fourth proportional to 10,415.18, 14,358.00 and 7,425.83 is: 10,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.18 : 14,358.00 = 7,425.83 : x
  2. Step 2: Convert to fraction form
    10,415.18/14,358.00 = 7,425.83/x
  3. Step 3: Cross multiply
    10,415.18x = 14,358.00 × 7,425.83
  4. Step 4: Simplify right side
    10,415.18x = 106,620,072.40
  5. Step 5: Solve for x
    x = 106,620,072.40/10,415.18
  6. Step 6: Final answer
    x = 10,236.98

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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.