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Finding the Fourth Proportional to 10,743.84, 14,826.64 and 8,050.28

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Solution

The fourth proportional to 10,743.84, 14,826.64 and 8,050.28 is: 11,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.84 : 14,826.64 = 8,050.28 : x
  2. Step 2: Convert to fraction form
    10,743.84/14,826.64 = 8,050.28/x
  3. Step 3: Cross multiply
    10,743.84x = 14,826.64 × 8,050.28
  4. Step 4: Simplify right side
    10,743.84x = 119,358,603.46
  5. Step 5: Solve for x
    x = 119,358,603.46/10,743.84
  6. Step 6: Final answer
    x = 11,109.49

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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.