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Finding the Fourth Proportional to 10,002.69, 14,989.62 and 7,349.34

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Solution

The fourth proportional to 10,002.69, 14,989.62 and 7,349.34 is: 11,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.69 : 14,989.62 = 7,349.34 : x
  2. Step 2: Convert to fraction form
    10,002.69/14,989.62 = 7,349.34/x
  3. Step 3: Cross multiply
    10,002.69x = 14,989.62 × 7,349.34
  4. Step 4: Simplify right side
    10,002.69x = 110,163,813.85
  5. Step 5: Solve for x
    x = 110,163,813.85/10,002.69
  6. Step 6: Final answer
    x = 11,013.42

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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.