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Finding the Fourth Proportional to 10,792.68, 16,177.48 and 7,705.32

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Solution

The fourth proportional to 10,792.68, 16,177.48 and 7,705.32 is: 11,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.68 : 16,177.48 = 7,705.32 : x
  2. Step 2: Convert to fraction form
    10,792.68/16,177.48 = 7,705.32/x
  3. Step 3: Cross multiply
    10,792.68x = 16,177.48 × 7,705.32
  4. Step 4: Simplify right side
    10,792.68x = 124,652,660.19
  5. Step 5: Solve for x
    x = 124,652,660.19/10,792.68
  6. Step 6: Final answer
    x = 11,549.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.