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Finding the Fourth Proportional to 7,516.86, 11,282.10 and 4,009.83

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Solution

The fourth proportional to 7,516.86, 11,282.10 and 4,009.83 is: 6,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.86 : 11,282.10 = 4,009.83 : x
  2. Step 2: Convert to fraction form
    7,516.86/11,282.10 = 4,009.83/x
  3. Step 3: Cross multiply
    7,516.86x = 11,282.10 × 4,009.83
  4. Step 4: Simplify right side
    7,516.86x = 45,239,303.04
  5. Step 5: Solve for x
    x = 45,239,303.04/7,516.86
  6. Step 6: Final answer
    x = 6,018.38

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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.