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Finding the Fourth Proportional to 7,329.53, 10,114.25 and 4,676.64

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Solution

The fourth proportional to 7,329.53, 10,114.25 and 4,676.64 is: 6,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.53 : 10,114.25 = 4,676.64 : x
  2. Step 2: Convert to fraction form
    7,329.53/10,114.25 = 4,676.64/x
  3. Step 3: Cross multiply
    7,329.53x = 10,114.25 × 4,676.64
  4. Step 4: Simplify right side
    7,329.53x = 47,300,682.74
  5. Step 5: Solve for x
    x = 47,300,682.74/7,329.53
  6. Step 6: Final answer
    x = 6,453.44

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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.