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Finding the Fourth Proportional to 7,812.02, 11,714.38 and 4,526.05

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Solution

The fourth proportional to 7,812.02, 11,714.38 and 4,526.05 is: 6,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.02 : 11,714.38 = 4,526.05 : x
  2. Step 2: Convert to fraction form
    7,812.02/11,714.38 = 4,526.05/x
  3. Step 3: Cross multiply
    7,812.02x = 11,714.38 × 4,526.05
  4. Step 4: Simplify right side
    7,812.02x = 53,019,869.60
  5. Step 5: Solve for x
    x = 53,019,869.60/7,812.02
  6. Step 6: Final answer
    x = 6,786.96

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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.