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Finding the Fourth Proportional to 10,319.72, 15,482.31 and 6,321.66

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Solution

The fourth proportional to 10,319.72, 15,482.31 and 6,321.66 is: 9,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.72 : 15,482.31 = 6,321.66 : x
  2. Step 2: Convert to fraction form
    10,319.72/15,482.31 = 6,321.66/x
  3. Step 3: Cross multiply
    10,319.72x = 15,482.31 × 6,321.66
  4. Step 4: Simplify right side
    10,319.72x = 97,873,818.07
  5. Step 5: Solve for x
    x = 97,873,818.07/10,319.72
  6. Step 6: Final answer
    x = 9,484.16

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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.