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Finding the Fourth Proportional to 10,505.37, 15,749.73 and 5,237.51

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Solution

The fourth proportional to 10,505.37, 15,749.73 and 5,237.51 is: 7,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.37 : 15,749.73 = 5,237.51 : x
  2. Step 2: Convert to fraction form
    10,505.37/15,749.73 = 5,237.51/x
  3. Step 3: Cross multiply
    10,505.37x = 15,749.73 × 5,237.51
  4. Step 4: Simplify right side
    10,505.37x = 82,489,368.37
  5. Step 5: Solve for x
    x = 82,489,368.37/10,505.37
  6. Step 6: Final answer
    x = 7,852.11

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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.