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Finding the Fourth Proportional to 7,574.48, 11,363.63 and 4,457.09

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Solution

The fourth proportional to 7,574.48, 11,363.63 and 4,457.09 is: 6,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.48 : 11,363.63 = 4,457.09 : x
  2. Step 2: Convert to fraction form
    7,574.48/11,363.63 = 4,457.09/x
  3. Step 3: Cross multiply
    7,574.48x = 11,363.63 × 4,457.09
  4. Step 4: Simplify right side
    7,574.48x = 50,648,721.64
  5. Step 5: Solve for x
    x = 50,648,721.64/7,574.48
  6. Step 6: Final answer
    x = 6,686.76

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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.