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Finding the Fourth Proportional to 7,456.86, 10,287.54 and 4,312.44

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Solution

The fourth proportional to 7,456.86, 10,287.54 and 4,312.44 is: 5,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.86 : 10,287.54 = 4,312.44 : x
  2. Step 2: Convert to fraction form
    7,456.86/10,287.54 = 4,312.44/x
  3. Step 3: Cross multiply
    7,456.86x = 10,287.54 × 4,312.44
  4. Step 4: Simplify right side
    7,456.86x = 44,364,399.00
  5. Step 5: Solve for x
    x = 44,364,399.00/7,456.86
  6. Step 6: Final answer
    x = 5,949.47

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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.