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Finding the Fourth Proportional to 10,549.71, 15,806.78 and 6,376.99

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Solution

The fourth proportional to 10,549.71, 15,806.78 and 6,376.99 is: 9,554.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.71 : 15,806.78 = 6,376.99 : x
  2. Step 2: Convert to fraction form
    10,549.71/15,806.78 = 6,376.99/x
  3. Step 3: Cross multiply
    10,549.71x = 15,806.78 × 6,376.99
  4. Step 4: Simplify right side
    10,549.71x = 100,799,646.11
  5. Step 5: Solve for x
    x = 100,799,646.11/10,549.71
  6. Step 6: Final answer
    x = 9,554.74

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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.