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Finding the Fourth Proportional to 11,862.18, 16,368.74 and 6,825.06

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Solution

The fourth proportional to 11,862.18, 16,368.74 and 6,825.06 is: 9,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.18 : 16,368.74 = 6,825.06 : x
  2. Step 2: Convert to fraction form
    11,862.18/16,368.74 = 6,825.06/x
  3. Step 3: Cross multiply
    11,862.18x = 16,368.74 × 6,825.06
  4. Step 4: Simplify right side
    11,862.18x = 111,717,632.62
  5. Step 5: Solve for x
    x = 111,717,632.62/11,862.18
  6. Step 6: Final answer
    x = 9,417.97

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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.