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Finding the Fourth Proportional to 11,578.01, 15,977.93 and 6,862.32

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Solution

The fourth proportional to 11,578.01, 15,977.93 and 6,862.32 is: 9,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.01 : 15,977.93 = 6,862.32 : x
  2. Step 2: Convert to fraction form
    11,578.01/15,977.93 = 6,862.32/x
  3. Step 3: Cross multiply
    11,578.01x = 15,977.93 × 6,862.32
  4. Step 4: Simplify right side
    11,578.01x = 109,645,634.29
  5. Step 5: Solve for x
    x = 109,645,634.29/11,578.01
  6. Step 6: Final answer
    x = 9,470.17

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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.