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Finding the Fourth Proportional to 10,168.44, 15,223.90 and 6,461.48

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Solution

The fourth proportional to 10,168.44, 15,223.90 and 6,461.48 is: 9,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.44 : 15,223.90 = 6,461.48 : x
  2. Step 2: Convert to fraction form
    10,168.44/15,223.90 = 6,461.48/x
  3. Step 3: Cross multiply
    10,168.44x = 15,223.90 × 6,461.48
  4. Step 4: Simplify right side
    10,168.44x = 98,368,925.37
  5. Step 5: Solve for x
    x = 98,368,925.37/10,168.44
  6. Step 6: Final answer
    x = 9,673.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.