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Finding the Fourth Proportional to 10,389.69, 15,594.93 and 5,469.71

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Solution

The fourth proportional to 10,389.69, 15,594.93 and 5,469.71 is: 8,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.69 : 15,594.93 = 5,469.71 : x
  2. Step 2: Convert to fraction form
    10,389.69/15,594.93 = 5,469.71/x
  3. Step 3: Cross multiply
    10,389.69x = 15,594.93 × 5,469.71
  4. Step 4: Simplify right side
    10,389.69x = 85,299,666.60
  5. Step 5: Solve for x
    x = 85,299,666.60/10,389.69
  6. Step 6: Final answer
    x = 8,210.03

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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.