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Finding the Fourth Proportional to 11,341.07, 15,646.93 and 6,863.12

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Solution

The fourth proportional to 11,341.07, 15,646.93 and 6,863.12 is: 9,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.07 : 15,646.93 = 6,863.12 : x
  2. Step 2: Convert to fraction form
    11,341.07/15,646.93 = 6,863.12/x
  3. Step 3: Cross multiply
    11,341.07x = 15,646.93 × 6,863.12
  4. Step 4: Simplify right side
    11,341.07x = 107,386,758.22
  5. Step 5: Solve for x
    x = 107,386,758.22/11,341.07
  6. Step 6: Final answer
    x = 9,468.84

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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.