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Finding the Fourth Proportional to 11,386.53, 17,071.29 and 7,678.35

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Solution

The fourth proportional to 11,386.53, 17,071.29 and 7,678.35 is: 11,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.53 : 17,071.29 = 7,678.35 : x
  2. Step 2: Convert to fraction form
    11,386.53/17,071.29 = 7,678.35/x
  3. Step 3: Cross multiply
    11,386.53x = 17,071.29 × 7,678.35
  4. Step 4: Simplify right side
    11,386.53x = 131,079,339.57
  5. Step 5: Solve for x
    x = 131,079,339.57/11,386.53
  6. Step 6: Final answer
    x = 11,511.79

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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.