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Finding the Fourth Proportional to 10,509.06, 15,729.57 and 7,735.14

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Solution

The fourth proportional to 10,509.06, 15,729.57 and 7,735.14 is: 11,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.06 : 15,729.57 = 7,735.14 : x
  2. Step 2: Convert to fraction form
    10,509.06/15,729.57 = 7,735.14/x
  3. Step 3: Cross multiply
    10,509.06x = 15,729.57 × 7,735.14
  4. Step 4: Simplify right side
    10,509.06x = 121,670,426.09
  5. Step 5: Solve for x
    x = 121,670,426.09/10,509.06
  6. Step 6: Final answer
    x = 11,577.67

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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.