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Finding the Fourth Proportional to 10,014.10, 13,825.08 and 6,661.51

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Solution

The fourth proportional to 10,014.10, 13,825.08 and 6,661.51 is: 9,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.10 : 13,825.08 = 6,661.51 : x
  2. Step 2: Convert to fraction form
    10,014.10/13,825.08 = 6,661.51/x
  3. Step 3: Cross multiply
    10,014.10x = 13,825.08 × 6,661.51
  4. Step 4: Simplify right side
    10,014.10x = 92,095,874.11
  5. Step 5: Solve for x
    x = 92,095,874.11/10,014.10
  6. Step 6: Final answer
    x = 9,196.62

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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.