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Finding the Fourth Proportional to 11,706.39, 17,538.53 and 6,435.72

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Solution

The fourth proportional to 11,706.39, 17,538.53 and 6,435.72 is: 9,642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.39 : 17,538.53 = 6,435.72 : x
  2. Step 2: Convert to fraction form
    11,706.39/17,538.53 = 6,435.72/x
  3. Step 3: Cross multiply
    11,706.39x = 17,538.53 × 6,435.72
  4. Step 4: Simplify right side
    11,706.39x = 112,873,036.11
  5. Step 5: Solve for x
    x = 112,873,036.11/11,706.39
  6. Step 6: Final answer
    x = 9,642.00

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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.