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Finding the Fourth Proportional to 10,815, 16,223.54 and 4,973.24

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Solution

The fourth proportional to 10,815, 16,223.54 and 4,973.24 is: 7,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 16,223.54 = 4,973.24 : x
  2. Step 2: Convert to fraction form
    10,815/16,223.54 = 4,973.24/x
  3. Step 3: Cross multiply
    10,815x = 16,223.54 × 4,973.24
  4. Step 4: Simplify right side
    10,815x = 80,683,558.07
  5. Step 5: Solve for x
    x = 80,683,558.07/10,815
  6. Step 6: Final answer
    x = 7,460.34

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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.