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Finding the Fourth Proportional to 10,099.65, 13,937.47 and 5,623.45

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Solution

The fourth proportional to 10,099.65, 13,937.47 and 5,623.45 is: 7,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.65 : 13,937.47 = 5,623.45 : x
  2. Step 2: Convert to fraction form
    10,099.65/13,937.47 = 5,623.45/x
  3. Step 3: Cross multiply
    10,099.65x = 13,937.47 × 5,623.45
  4. Step 4: Simplify right side
    10,099.65x = 78,376,665.67
  5. Step 5: Solve for x
    x = 78,376,665.67/10,099.65
  6. Step 6: Final answer
    x = 7,760.33

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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.