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Finding the Fourth Proportional to 7,783.02, 11,674.53 and 6,626.46

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Solution

The fourth proportional to 7,783.02, 11,674.53 and 6,626.46 is: 9,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.02 : 11,674.53 = 6,626.46 : x
  2. Step 2: Convert to fraction form
    7,783.02/11,674.53 = 6,626.46/x
  3. Step 3: Cross multiply
    7,783.02x = 11,674.53 × 6,626.46
  4. Step 4: Simplify right side
    7,783.02x = 77,360,806.06
  5. Step 5: Solve for x
    x = 77,360,806.06/7,783.02
  6. Step 6: Final answer
    x = 9,939.69

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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.