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Finding the Fourth Proportional to 10,005.84, 13,804.74 and 6,025.44

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Solution

The fourth proportional to 10,005.84, 13,804.74 and 6,025.44 is: 8,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.84 : 13,804.74 = 6,025.44 : x
  2. Step 2: Convert to fraction form
    10,005.84/13,804.74 = 6,025.44/x
  3. Step 3: Cross multiply
    10,005.84x = 13,804.74 × 6,025.44
  4. Step 4: Simplify right side
    10,005.84x = 83,179,632.59
  5. Step 5: Solve for x
    x = 83,179,632.59/10,005.84
  6. Step 6: Final answer
    x = 8,313.11

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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.