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Finding the Fourth Proportional to 10,113.90, 13,955.49 and 5,636.67

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Solution

The fourth proportional to 10,113.90, 13,955.49 and 5,636.67 is: 7,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.90 : 13,955.49 = 5,636.67 : x
  2. Step 2: Convert to fraction form
    10,113.90/13,955.49 = 5,636.67/x
  3. Step 3: Cross multiply
    10,113.90x = 13,955.49 × 5,636.67
  4. Step 4: Simplify right side
    10,113.90x = 78,662,491.82
  5. Step 5: Solve for x
    x = 78,662,491.82/10,113.90
  6. Step 6: Final answer
    x = 7,777.66

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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.