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Finding the Fourth Proportional to 7,735.22, 10,675.13 and 4,378.02

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Solution

The fourth proportional to 7,735.22, 10,675.13 and 4,378.02 is: 6,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.22 : 10,675.13 = 4,378.02 : x
  2. Step 2: Convert to fraction form
    7,735.22/10,675.13 = 4,378.02/x
  3. Step 3: Cross multiply
    7,735.22x = 10,675.13 × 4,378.02
  4. Step 4: Simplify right side
    7,735.22x = 46,735,927.17
  5. Step 5: Solve for x
    x = 46,735,927.17/7,735.22
  6. Step 6: Final answer
    x = 6,041.97

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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.