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Finding the Fourth Proportional to 10,684.68, 16,010.48 and 7,404.18

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Solution

The fourth proportional to 10,684.68, 16,010.48 and 7,404.18 is: 11,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.68 : 16,010.48 = 7,404.18 : x
  2. Step 2: Convert to fraction form
    10,684.68/16,010.48 = 7,404.18/x
  3. Step 3: Cross multiply
    10,684.68x = 16,010.48 × 7,404.18
  4. Step 4: Simplify right side
    10,684.68x = 118,544,475.81
  5. Step 5: Solve for x
    x = 118,544,475.81/10,684.68
  6. Step 6: Final answer
    x = 11,094.81

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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.