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Finding the Fourth Proportional to 7,849.26, 10,832.04 and 4,312.50

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Solution

The fourth proportional to 7,849.26, 10,832.04 and 4,312.50 is: 5,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.26 : 10,832.04 = 4,312.50 : x
  2. Step 2: Convert to fraction form
    7,849.26/10,832.04 = 4,312.50/x
  3. Step 3: Cross multiply
    7,849.26x = 10,832.04 × 4,312.50
  4. Step 4: Simplify right side
    7,849.26x = 46,713,172.50
  5. Step 5: Solve for x
    x = 46,713,172.50/7,849.26
  6. Step 6: Final answer
    x = 5,951.28

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