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Finding the Fourth Proportional to 7,645.12, 11,466.12 and 3,483.94

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Solution

The fourth proportional to 7,645.12, 11,466.12 and 3,483.94 is: 5,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.12 : 11,466.12 = 3,483.94 : x
  2. Step 2: Convert to fraction form
    7,645.12/11,466.12 = 3,483.94/x
  3. Step 3: Cross multiply
    7,645.12x = 11,466.12 × 3,483.94
  4. Step 4: Simplify right side
    7,645.12x = 39,947,274.11
  5. Step 5: Solve for x
    x = 39,947,274.11/7,645.12
  6. Step 6: Final answer
    x = 5,225.20

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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.