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Finding the Fourth Proportional to 7,354.89, 10,149.57 and 4,211.28

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Solution

The fourth proportional to 7,354.89, 10,149.57 and 4,211.28 is: 5,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.89 : 10,149.57 = 4,211.28 : x
  2. Step 2: Convert to fraction form
    7,354.89/10,149.57 = 4,211.28/x
  3. Step 3: Cross multiply
    7,354.89x = 10,149.57 × 4,211.28
  4. Step 4: Simplify right side
    7,354.89x = 42,742,681.15
  5. Step 5: Solve for x
    x = 42,742,681.15/7,354.89
  6. Step 6: Final answer
    x = 5,811.46

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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.