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Finding the Fourth Proportional to 7,735.35, 10,675.02 and 4,378.10

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Solution

The fourth proportional to 7,735.35, 10,675.02 and 4,378.10 is: 6,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.35 : 10,675.02 = 4,378.10 : x
  2. Step 2: Convert to fraction form
    7,735.35/10,675.02 = 4,378.10/x
  3. Step 3: Cross multiply
    7,735.35x = 10,675.02 × 4,378.10
  4. Step 4: Simplify right side
    7,735.35x = 46,736,251.69
  5. Step 5: Solve for x
    x = 46,736,251.69/7,735.35
  6. Step 6: Final answer
    x = 6,041.91

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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.