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Finding the Fourth Proportional to 11,646.81, 16,070.13 and 6,930.18

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Solution

The fourth proportional to 11,646.81, 16,070.13 and 6,930.18 is: 9,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.81 : 16,070.13 = 6,930.18 : x
  2. Step 2: Convert to fraction form
    11,646.81/16,070.13 = 6,930.18/x
  3. Step 3: Cross multiply
    11,646.81x = 16,070.13 × 6,930.18
  4. Step 4: Simplify right side
    11,646.81x = 111,368,893.52
  5. Step 5: Solve for x
    x = 111,368,893.52/11,646.81
  6. Step 6: Final answer
    x = 9,562.18

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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.