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Finding the Fourth Proportional to 7,457.47, 10,289.04 and 4,472.21

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Solution

The fourth proportional to 7,457.47, 10,289.04 and 4,472.21 is: 6,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.47 : 10,289.04 = 4,472.21 : x
  2. Step 2: Convert to fraction form
    7,457.47/10,289.04 = 4,472.21/x
  3. Step 3: Cross multiply
    7,457.47x = 10,289.04 × 4,472.21
  4. Step 4: Simplify right side
    7,457.47x = 46,014,747.58
  5. Step 5: Solve for x
    x = 46,014,747.58/7,457.47
  6. Step 6: Final answer
    x = 6,170.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.