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Finding the Fourth Proportional to 7,444.16, 10,274.01 and 4,460.12

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Solution

The fourth proportional to 7,444.16, 10,274.01 and 4,460.12 is: 6,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.16 : 10,274.01 = 4,460.12 : x
  2. Step 2: Convert to fraction form
    7,444.16/10,274.01 = 4,460.12/x
  3. Step 3: Cross multiply
    7,444.16x = 10,274.01 × 4,460.12
  4. Step 4: Simplify right side
    7,444.16x = 45,823,317.48
  5. Step 5: Solve for x
    x = 45,823,317.48/7,444.16
  6. Step 6: Final answer
    x = 6,155.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.