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Finding the Fourth Proportional to 15,852, 23,779.62 and 5,463.75

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Solution

The fourth proportional to 15,852, 23,779.62 and 5,463.75 is: 8,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852 : 23,779.62 = 5,463.75 : x
  2. Step 2: Convert to fraction form
    15,852/23,779.62 = 5,463.75/x
  3. Step 3: Cross multiply
    15,852x = 23,779.62 × 5,463.75
  4. Step 4: Simplify right side
    15,852x = 129,925,898.78
  5. Step 5: Solve for x
    x = 129,925,898.78/15,852
  6. Step 6: Final answer
    x = 8,196.18

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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.