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Finding the Fourth Proportional to 7,536.65, 11,305.47 and 2,538.74

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Solution

The fourth proportional to 7,536.65, 11,305.47 and 2,538.74 is: 3,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.65 : 11,305.47 = 2,538.74 : x
  2. Step 2: Convert to fraction form
    7,536.65/11,305.47 = 2,538.74/x
  3. Step 3: Cross multiply
    7,536.65x = 11,305.47 × 2,538.74
  4. Step 4: Simplify right side
    7,536.65x = 28,701,686.69
  5. Step 5: Solve for x
    x = 28,701,686.69/7,536.65
  6. Step 6: Final answer
    x = 3,808.28

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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.