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Finding the Fourth Proportional to 8,378.40, 11,562 and 4,652.40

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Solution

The fourth proportional to 8,378.40, 11,562 and 4,652.40 is: 6,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.40 : 11,562 = 4,652.40 : x
  2. Step 2: Convert to fraction form
    8,378.40/11,562 = 4,652.40/x
  3. Step 3: Cross multiply
    8,378.40x = 11,562 × 4,652.40
  4. Step 4: Simplify right side
    8,378.40x = 53,791,048.80
  5. Step 5: Solve for x
    x = 53,791,048.80/8,378.40
  6. Step 6: Final answer
    x = 6,420.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.