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Finding the Fourth Proportional to 10,099.96, 15,132.93 and 6,406.36

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Solution

The fourth proportional to 10,099.96, 15,132.93 and 6,406.36 is: 9,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.96 : 15,132.93 = 6,406.36 : x
  2. Step 2: Convert to fraction form
    10,099.96/15,132.93 = 6,406.36/x
  3. Step 3: Cross multiply
    10,099.96x = 15,132.93 × 6,406.36
  4. Step 4: Simplify right side
    10,099.96x = 96,946,997.43
  5. Step 5: Solve for x
    x = 96,946,997.43/10,099.96
  6. Step 6: Final answer
    x = 9,598.75

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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.