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Finding the Fourth Proportional to 8,435.74, 11,642.02 and 4,659.26

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Solution

The fourth proportional to 8,435.74, 11,642.02 and 4,659.26 is: 6,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.74 : 11,642.02 = 4,659.26 : x
  2. Step 2: Convert to fraction form
    8,435.74/11,642.02 = 4,659.26/x
  3. Step 3: Cross multiply
    8,435.74x = 11,642.02 × 4,659.26
  4. Step 4: Simplify right side
    8,435.74x = 54,243,198.11
  5. Step 5: Solve for x
    x = 54,243,198.11/8,435.74
  6. Step 6: Final answer
    x = 6,430.16

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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.