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Finding the Fourth Proportional to 10,005, 13,807.10 and 5,528.94

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Solution

The fourth proportional to 10,005, 13,807.10 and 5,528.94 is: 7,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 13,807.10 = 5,528.94 : x
  2. Step 2: Convert to fraction form
    10,005/13,807.10 = 5,528.94/x
  3. Step 3: Cross multiply
    10,005x = 13,807.10 × 5,528.94
  4. Step 4: Simplify right side
    10,005x = 76,338,627.47
  5. Step 5: Solve for x
    x = 76,338,627.47/10,005
  6. Step 6: Final answer
    x = 7,630.05

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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.