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Finding the Fourth Proportional to 10,415.83, 14,358.90 and 7,426.48

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Solution

The fourth proportional to 10,415.83, 14,358.90 and 7,426.48 is: 10,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.83 : 14,358.90 = 7,426.48 : x
  2. Step 2: Convert to fraction form
    10,415.83/14,358.90 = 7,426.48/x
  3. Step 3: Cross multiply
    10,415.83x = 14,358.90 × 7,426.48
  4. Step 4: Simplify right side
    10,415.83x = 106,636,083.67
  5. Step 5: Solve for x
    x = 106,636,083.67/10,415.83
  6. Step 6: Final answer
    x = 10,237.89

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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.