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Finding the Fourth Proportional to 10,503.37, 15,746.73 and 5,235.51

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Solution

The fourth proportional to 10,503.37, 15,746.73 and 5,235.51 is: 7,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.37 : 15,746.73 = 5,235.51 : x
  2. Step 2: Convert to fraction form
    10,503.37/15,746.73 = 5,235.51/x
  3. Step 3: Cross multiply
    10,503.37x = 15,746.73 × 5,235.51
  4. Step 4: Simplify right side
    10,503.37x = 82,442,172.24
  5. Step 5: Solve for x
    x = 82,442,172.24/10,503.37
  6. Step 6: Final answer
    x = 7,849.12

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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.