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Finding the Fourth Proportional to 10,497.21, 15,765.26 and 8,319.93

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Solution

The fourth proportional to 10,497.21, 15,765.26 and 8,319.93 is: 12,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.21 : 15,765.26 = 8,319.93 : x
  2. Step 2: Convert to fraction form
    10,497.21/15,765.26 = 8,319.93/x
  3. Step 3: Cross multiply
    10,497.21x = 15,765.26 × 8,319.93
  4. Step 4: Simplify right side
    10,497.21x = 131,165,818.03
  5. Step 5: Solve for x
    x = 131,165,818.03/10,497.21
  6. Step 6: Final answer
    x = 12,495.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.