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Finding the Fourth Proportional to 7,970.86, 11,945.35 and 5,043.93

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Solution

The fourth proportional to 7,970.86, 11,945.35 and 5,043.93 is: 7,558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.86 : 11,945.35 = 5,043.93 : x
  2. Step 2: Convert to fraction form
    7,970.86/11,945.35 = 5,043.93/x
  3. Step 3: Cross multiply
    7,970.86x = 11,945.35 × 5,043.93
  4. Step 4: Simplify right side
    7,970.86x = 60,251,449.50
  5. Step 5: Solve for x
    x = 60,251,449.50/7,970.86
  6. Step 6: Final answer
    x = 7,558.96

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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.