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Finding the Fourth Proportional to 7,323.85, 10,106.47 and 4,491.23

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Solution

The fourth proportional to 7,323.85, 10,106.47 and 4,491.23 is: 6,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.85 : 10,106.47 = 4,491.23 : x
  2. Step 2: Convert to fraction form
    7,323.85/10,106.47 = 4,491.23/x
  3. Step 3: Cross multiply
    7,323.85x = 10,106.47 × 4,491.23
  4. Step 4: Simplify right side
    7,323.85x = 45,390,495.30
  5. Step 5: Solve for x
    x = 45,390,495.30/7,323.85
  6. Step 6: Final answer
    x = 6,197.63

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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.