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Finding the Fourth Proportional to 10,415.72, 14,358.72 and 7,426.35

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Solution

The fourth proportional to 10,415.72, 14,358.72 and 7,426.35 is: 10,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.72 : 14,358.72 = 7,426.35 : x
  2. Step 2: Convert to fraction form
    10,415.72/14,358.72 = 7,426.35/x
  3. Step 3: Cross multiply
    10,415.72x = 14,358.72 × 7,426.35
  4. Step 4: Simplify right side
    10,415.72x = 106,632,880.27
  5. Step 5: Solve for x
    x = 106,632,880.27/10,415.72
  6. Step 6: Final answer
    x = 10,237.69

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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.