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Finding the Fourth Proportional to 10,507.47, 15,762.11 and 3,485.98

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Solution

The fourth proportional to 10,507.47, 15,762.11 and 3,485.98 is: 5,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.47 : 15,762.11 = 3,485.98 : x
  2. Step 2: Convert to fraction form
    10,507.47/15,762.11 = 3,485.98/x
  3. Step 3: Cross multiply
    10,507.47x = 15,762.11 × 3,485.98
  4. Step 4: Simplify right side
    10,507.47x = 54,946,400.22
  5. Step 5: Solve for x
    x = 54,946,400.22/10,507.47
  6. Step 6: Final answer
    x = 5,229.27

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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.