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Finding the Fourth Proportional to 7,903.28, 11,856.20 and 2,430

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Solution

The fourth proportional to 7,903.28, 11,856.20 and 2,430 is: 3,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.28 : 11,856.20 = 2,430 : x
  2. Step 2: Convert to fraction form
    7,903.28/11,856.20 = 2,430/x
  3. Step 3: Cross multiply
    7,903.28x = 11,856.20 × 2,430
  4. Step 4: Simplify right side
    7,903.28x = 28,810,566
  5. Step 5: Solve for x
    x = 28,810,566/7,903.28
  6. Step 6: Final answer
    x = 3,645.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.