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Finding the Fourth Proportional to 11,656.32, 16,085.76 and 6,688

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Solution

The fourth proportional to 11,656.32, 16,085.76 and 6,688 is: 9,229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.32 : 16,085.76 = 6,688 : x
  2. Step 2: Convert to fraction form
    11,656.32/16,085.76 = 6,688/x
  3. Step 3: Cross multiply
    11,656.32x = 16,085.76 × 6,688
  4. Step 4: Simplify right side
    11,656.32x = 107,581,562.88
  5. Step 5: Solve for x
    x = 107,581,562.88/11,656.32
  6. Step 6: Final answer
    x = 9,229.46

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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.