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Finding the Fourth Proportional to 7,548.74, 11,312.81 and 2,866.24

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Solution

The fourth proportional to 7,548.74, 11,312.81 and 2,866.24 is: 4,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.74 : 11,312.81 = 2,866.24 : x
  2. Step 2: Convert to fraction form
    7,548.74/11,312.81 = 2,866.24/x
  3. Step 3: Cross multiply
    7,548.74x = 11,312.81 × 2,866.24
  4. Step 4: Simplify right side
    7,548.74x = 32,425,228.53
  5. Step 5: Solve for x
    x = 32,425,228.53/7,548.74
  6. Step 6: Final answer
    x = 4,295.45

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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.