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Finding the Fourth Proportional to 8,953.12, 13,435.44 and 4,852

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Solution

The fourth proportional to 8,953.12, 13,435.44 and 4,852 is: 7,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.12 : 13,435.44 = 4,852 : x
  2. Step 2: Convert to fraction form
    8,953.12/13,435.44 = 4,852/x
  3. Step 3: Cross multiply
    8,953.12x = 13,435.44 × 4,852
  4. Step 4: Simplify right side
    8,953.12x = 65,188,754.88
  5. Step 5: Solve for x
    x = 65,188,754.88/8,953.12
  6. Step 6: Final answer
    x = 7,281.12

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Why These Related Problems?

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