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Finding the Fourth Proportional to 7,745.32, 10,688.70 and 4,719.40

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Solution

The fourth proportional to 7,745.32, 10,688.70 and 4,719.40 is: 6,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.32 : 10,688.70 = 4,719.40 : x
  2. Step 2: Convert to fraction form
    7,745.32/10,688.70 = 4,719.40/x
  3. Step 3: Cross multiply
    7,745.32x = 10,688.70 × 4,719.40
  4. Step 4: Simplify right side
    7,745.32x = 50,444,250.78
  5. Step 5: Solve for x
    x = 50,444,250.78/7,745.32
  6. Step 6: Final answer
    x = 6,512.87

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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.