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Finding the Fourth Proportional to 7,752.33, 11,627.64 and 2,130.44

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Solution

The fourth proportional to 7,752.33, 11,627.64 and 2,130.44 is: 3,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.33 : 11,627.64 = 2,130.44 : x
  2. Step 2: Convert to fraction form
    7,752.33/11,627.64 = 2,130.44/x
  3. Step 3: Cross multiply
    7,752.33x = 11,627.64 × 2,130.44
  4. Step 4: Simplify right side
    7,752.33x = 24,771,925.23
  5. Step 5: Solve for x
    x = 24,771,925.23/7,752.33
  6. Step 6: Final answer
    x = 3,195.42

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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.