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Finding the Fourth Proportional to 10,294.75, 15,445.81 and 4,051.30

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Solution

The fourth proportional to 10,294.75, 15,445.81 and 4,051.30 is: 6,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.75 : 15,445.81 = 4,051.30 : x
  2. Step 2: Convert to fraction form
    10,294.75/15,445.81 = 4,051.30/x
  3. Step 3: Cross multiply
    10,294.75x = 15,445.81 × 4,051.30
  4. Step 4: Simplify right side
    10,294.75x = 62,575,610.05
  5. Step 5: Solve for x
    x = 62,575,610.05/10,294.75
  6. Step 6: Final answer
    x = 6,078.40

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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.