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Finding the Fourth Proportional to 10,829.39, 16,210.04 and 10,576.67

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Solution

The fourth proportional to 10,829.39, 16,210.04 and 10,576.67 is: 15,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.39 : 16,210.04 = 10,576.67 : x
  2. Step 2: Convert to fraction form
    10,829.39/16,210.04 = 10,576.67/x
  3. Step 3: Cross multiply
    10,829.39x = 16,210.04 × 10,576.67
  4. Step 4: Simplify right side
    10,829.39x = 171,448,109.83
  5. Step 5: Solve for x
    x = 171,448,109.83/10,829.39
  6. Step 6: Final answer
    x = 15,831.75

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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.