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Finding the Fourth Proportional to 8,319.70, 11,533.76 and 7,875.82

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Solution

The fourth proportional to 8,319.70, 11,533.76 and 7,875.82 is: 10,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.70 : 11,533.76 = 7,875.82 : x
  2. Step 2: Convert to fraction form
    8,319.70/11,533.76 = 7,875.82/x
  3. Step 3: Cross multiply
    8,319.70x = 11,533.76 × 7,875.82
  4. Step 4: Simplify right side
    8,319.70x = 90,837,817.68
  5. Step 5: Solve for x
    x = 90,837,817.68/8,319.70
  6. Step 6: Final answer
    x = 10,918.40

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.