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Finding the Fourth Proportional to 10,830.02, 14,940.99 and 7,294.37

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Solution

The fourth proportional to 10,830.02, 14,940.99 and 7,294.37 is: 10,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.02 : 14,940.99 = 7,294.37 : x
  2. Step 2: Convert to fraction form
    10,830.02/14,940.99 = 7,294.37/x
  3. Step 3: Cross multiply
    10,830.02x = 14,940.99 × 7,294.37
  4. Step 4: Simplify right side
    10,830.02x = 108,985,034.52
  5. Step 5: Solve for x
    x = 108,985,034.52/10,830.02
  6. Step 6: Final answer
    x = 10,063.24

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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.