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Finding the Fourth Proportional to 7,778.31, 10,730.65 and 5,259.50

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Solution

The fourth proportional to 7,778.31, 10,730.65 and 5,259.50 is: 7,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.31 : 10,730.65 = 5,259.50 : x
  2. Step 2: Convert to fraction form
    7,778.31/10,730.65 = 5,259.50/x
  3. Step 3: Cross multiply
    7,778.31x = 10,730.65 × 5,259.50
  4. Step 4: Simplify right side
    7,778.31x = 56,437,853.68
  5. Step 5: Solve for x
    x = 56,437,853.68/7,778.31
  6. Step 6: Final answer
    x = 7,255.80

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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.