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Finding the Fourth Proportional to 10,533.34, 14,542.23 and 7,003.90

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Solution

The fourth proportional to 10,533.34, 14,542.23 and 7,003.90 is: 9,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.34 : 14,542.23 = 7,003.90 : x
  2. Step 2: Convert to fraction form
    10,533.34/14,542.23 = 7,003.90/x
  3. Step 3: Cross multiply
    10,533.34x = 14,542.23 × 7,003.90
  4. Step 4: Simplify right side
    10,533.34x = 101,852,324.70
  5. Step 5: Solve for x
    x = 101,852,324.70/10,533.34
  6. Step 6: Final answer
    x = 9,669.52

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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.