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Finding the Fourth Proportional to 10,386.80, 15,563.76 and 5,699.76

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Solution

The fourth proportional to 10,386.80, 15,563.76 and 5,699.76 is: 8,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.80 : 15,563.76 = 5,699.76 : x
  2. Step 2: Convert to fraction form
    10,386.80/15,563.76 = 5,699.76/x
  3. Step 3: Cross multiply
    10,386.80x = 15,563.76 × 5,699.76
  4. Step 4: Simplify right side
    10,386.80x = 88,709,696.70
  5. Step 5: Solve for x
    x = 88,709,696.70/10,386.80
  6. Step 6: Final answer
    x = 8,540.62

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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.