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Finding the Fourth Proportional to 6,523.16, 9,785.48 and 2,365.11

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Solution

The fourth proportional to 6,523.16, 9,785.48 and 2,365.11 is: 3,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.16 : 9,785.48 = 2,365.11 : x
  2. Step 2: Convert to fraction form
    6,523.16/9,785.48 = 2,365.11/x
  3. Step 3: Cross multiply
    6,523.16x = 9,785.48 × 2,365.11
  4. Step 4: Simplify right side
    6,523.16x = 23,143,724.78
  5. Step 5: Solve for x
    x = 23,143,724.78/6,523.16
  6. Step 6: Final answer
    x = 3,547.93

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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.