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Finding the Fourth Proportional to 10,318.16, 15,478.06 and 6,186.36

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Solution

The fourth proportional to 10,318.16, 15,478.06 and 6,186.36 is: 9,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.16 : 15,478.06 = 6,186.36 : x
  2. Step 2: Convert to fraction form
    10,318.16/15,478.06 = 6,186.36/x
  3. Step 3: Cross multiply
    10,318.16x = 15,478.06 × 6,186.36
  4. Step 4: Simplify right side
    10,318.16x = 95,752,851.26
  5. Step 5: Solve for x
    x = 95,752,851.26/10,318.16
  6. Step 6: Final answer
    x = 9,280.03

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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.