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Finding the Fourth Proportional to 10,869.44, 15,000.14 and 6,153.64

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Solution

The fourth proportional to 10,869.44, 15,000.14 and 6,153.64 is: 8,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.44 : 15,000.14 = 6,153.64 : x
  2. Step 2: Convert to fraction form
    10,869.44/15,000.14 = 6,153.64/x
  3. Step 3: Cross multiply
    10,869.44x = 15,000.14 × 6,153.64
  4. Step 4: Simplify right side
    10,869.44x = 92,305,461.51
  5. Step 5: Solve for x
    x = 92,305,461.51/10,869.44
  6. Step 6: Final answer
    x = 8,492.20

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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.