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Finding the Fourth Proportional to 10,628.66, 14,665.33 and 6,152.15

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Solution

The fourth proportional to 10,628.66, 14,665.33 and 6,152.15 is: 8,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.66 : 14,665.33 = 6,152.15 : x
  2. Step 2: Convert to fraction form
    10,628.66/14,665.33 = 6,152.15/x
  3. Step 3: Cross multiply
    10,628.66x = 14,665.33 × 6,152.15
  4. Step 4: Simplify right side
    10,628.66x = 90,223,221.25
  5. Step 5: Solve for x
    x = 90,223,221.25/10,628.66
  6. Step 6: Final answer
    x = 8,488.67

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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.