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Finding the Fourth Proportional to 11,646.26, 16,070.64 and 6,929.72

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Solution

The fourth proportional to 11,646.26, 16,070.64 and 6,929.72 is: 9,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.26 : 16,070.64 = 6,929.72 : x
  2. Step 2: Convert to fraction form
    11,646.26/16,070.64 = 6,929.72/x
  3. Step 3: Cross multiply
    11,646.26x = 16,070.64 × 6,929.72
  4. Step 4: Simplify right side
    11,646.26x = 111,365,035.42
  5. Step 5: Solve for x
    x = 111,365,035.42/11,646.26
  6. Step 6: Final answer
    x = 9,562.30

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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.