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Finding the Fourth Proportional to 10,264.43, 15,395.85 and 6,316.22

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Solution

The fourth proportional to 10,264.43, 15,395.85 and 6,316.22 is: 9,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.43 : 15,395.85 = 6,316.22 : x
  2. Step 2: Convert to fraction form
    10,264.43/15,395.85 = 6,316.22/x
  3. Step 3: Cross multiply
    10,264.43x = 15,395.85 × 6,316.22
  4. Step 4: Simplify right side
    10,264.43x = 97,243,544.11
  5. Step 5: Solve for x
    x = 97,243,544.11/10,264.43
  6. Step 6: Final answer
    x = 9,473.84

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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.