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Finding the Fourth Proportional to 10,074.16, 15,111.51 and 2,678.64

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Solution

The fourth proportional to 10,074.16, 15,111.51 and 2,678.64 is: 4,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.16 : 15,111.51 = 2,678.64 : x
  2. Step 2: Convert to fraction form
    10,074.16/15,111.51 = 2,678.64/x
  3. Step 3: Cross multiply
    10,074.16x = 15,111.51 × 2,678.64
  4. Step 4: Simplify right side
    10,074.16x = 40,478,295.15
  5. Step 5: Solve for x
    x = 40,478,295.15/10,074.16
  6. Step 6: Final answer
    x = 4,018.03

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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.