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Finding the Fourth Proportional to 7,785.01, 11,668.59 and 3,341.28

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Solution

The fourth proportional to 7,785.01, 11,668.59 and 3,341.28 is: 5,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.01 : 11,668.59 = 3,341.28 : x
  2. Step 2: Convert to fraction form
    7,785.01/11,668.59 = 3,341.28/x
  3. Step 3: Cross multiply
    7,785.01x = 11,668.59 × 3,341.28
  4. Step 4: Simplify right side
    7,785.01x = 38,988,070.15
  5. Step 5: Solve for x
    x = 38,988,070.15/7,785.01
  6. Step 6: Final answer
    x = 5,008.09

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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.