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Finding the Fourth Proportional to 10,657, 14,708.76 and 6,181.72

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Solution

The fourth proportional to 10,657, 14,708.76 and 6,181.72 is: 8,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657 : 14,708.76 = 6,181.72 : x
  2. Step 2: Convert to fraction form
    10,657/14,708.76 = 6,181.72/x
  3. Step 3: Cross multiply
    10,657x = 14,708.76 × 6,181.72
  4. Step 4: Simplify right side
    10,657x = 90,925,435.87
  5. Step 5: Solve for x
    x = 90,925,435.87/10,657
  6. Step 6: Final answer
    x = 8,531.99

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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.