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Finding the Fourth Proportional to 10,957.29, 16,440.07 and 6,577.80

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Solution

The fourth proportional to 10,957.29, 16,440.07 and 6,577.80 is: 9,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.29 : 16,440.07 = 6,577.80 : x
  2. Step 2: Convert to fraction form
    10,957.29/16,440.07 = 6,577.80/x
  3. Step 3: Cross multiply
    10,957.29x = 16,440.07 × 6,577.80
  4. Step 4: Simplify right side
    10,957.29x = 108,139,492.45
  5. Step 5: Solve for x
    x = 108,139,492.45/10,957.29
  6. Step 6: Final answer
    x = 9,869.18

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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.