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Finding the Fourth Proportional to 10,748.90, 14,840.71 and 8,226.50

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Solution

The fourth proportional to 10,748.90, 14,840.71 and 8,226.50 is: 11,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.90 : 14,840.71 = 8,226.50 : x
  2. Step 2: Convert to fraction form
    10,748.90/14,840.71 = 8,226.50/x
  3. Step 3: Cross multiply
    10,748.90x = 14,840.71 × 8,226.50
  4. Step 4: Simplify right side
    10,748.90x = 122,087,059.68
  5. Step 5: Solve for x
    x = 122,087,059.68/10,748.90
  6. Step 6: Final answer
    x = 11,358.10

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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.