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Finding the Fourth Proportional to 11,206.16, 16,809.40 and 4,632.40

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Solution

The fourth proportional to 11,206.16, 16,809.40 and 4,632.40 is: 6,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.16 : 16,809.40 = 4,632.40 : x
  2. Step 2: Convert to fraction form
    11,206.16/16,809.40 = 4,632.40/x
  3. Step 3: Cross multiply
    11,206.16x = 16,809.40 × 4,632.40
  4. Step 4: Simplify right side
    11,206.16x = 77,867,864.56
  5. Step 5: Solve for x
    x = 77,867,864.56/11,206.16
  6. Step 6: Final answer
    x = 6,948.67

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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.