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Finding the Fourth Proportional to 10,554.30, 15,834.62 and 3,159

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Solution

The fourth proportional to 10,554.30, 15,834.62 and 3,159 is: 4,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,554.30 : 15,834.62 = 3,159 : x
  2. Step 2: Convert to fraction form
    10,554.30/15,834.62 = 3,159/x
  3. Step 3: Cross multiply
    10,554.30x = 15,834.62 × 3,159
  4. Step 4: Simplify right side
    10,554.30x = 50,021,564.58
  5. Step 5: Solve for x
    x = 50,021,564.58/10,554.30
  6. Step 6: Final answer
    x = 4,739.45

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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.