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Finding the Fourth Proportional to 7,920.21, 10,931.06 and 4,562.37

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Solution

The fourth proportional to 7,920.21, 10,931.06 and 4,562.37 is: 6,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.21 : 10,931.06 = 4,562.37 : x
  2. Step 2: Convert to fraction form
    7,920.21/10,931.06 = 4,562.37/x
  3. Step 3: Cross multiply
    7,920.21x = 10,931.06 × 4,562.37
  4. Step 4: Simplify right side
    7,920.21x = 49,871,540.21
  5. Step 5: Solve for x
    x = 49,871,540.21/7,920.21
  6. Step 6: Final answer
    x = 6,296.74

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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.