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Finding the Fourth Proportional to 10,415.90, 14,358.96 and 7,426.54

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Solution

The fourth proportional to 10,415.90, 14,358.96 and 7,426.54 is: 10,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.90 : 14,358.96 = 7,426.54 : x
  2. Step 2: Convert to fraction form
    10,415.90/14,358.96 = 7,426.54/x
  3. Step 3: Cross multiply
    10,415.90x = 14,358.96 × 7,426.54
  4. Step 4: Simplify right side
    10,415.90x = 106,637,390.80
  5. Step 5: Solve for x
    x = 106,637,390.80/10,415.90
  6. Step 6: Final answer
    x = 10,237.94

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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.