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Finding the Fourth Proportional to 10,509.10, 15,762.06 and 3,493.98

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Solution

The fourth proportional to 10,509.10, 15,762.06 and 3,493.98 is: 5,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.10 : 15,762.06 = 3,493.98 : x
  2. Step 2: Convert to fraction form
    10,509.10/15,762.06 = 3,493.98/x
  3. Step 3: Cross multiply
    10,509.10x = 15,762.06 × 3,493.98
  4. Step 4: Simplify right side
    10,509.10x = 55,072,322.40
  5. Step 5: Solve for x
    x = 55,072,322.40/10,509.10
  6. Step 6: Final answer
    x = 5,240.44

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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.