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Finding the Fourth Proportional to 10,509.88, 14,503.68 and 5,794.06

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Solution

The fourth proportional to 10,509.88, 14,503.68 and 5,794.06 is: 7,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.88 : 14,503.68 = 5,794.06 : x
  2. Step 2: Convert to fraction form
    10,509.88/14,503.68 = 5,794.06/x
  3. Step 3: Cross multiply
    10,509.88x = 14,503.68 × 5,794.06
  4. Step 4: Simplify right side
    10,509.88x = 84,035,192.14
  5. Step 5: Solve for x
    x = 84,035,192.14/10,509.88
  6. Step 6: Final answer
    x = 7,995.83

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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.