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Finding the Fourth Proportional to 10,339.63, 15,497.09 and 3,762.23

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Solution

The fourth proportional to 10,339.63, 15,497.09 and 3,762.23 is: 5,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.63 : 15,497.09 = 3,762.23 : x
  2. Step 2: Convert to fraction form
    10,339.63/15,497.09 = 3,762.23/x
  3. Step 3: Cross multiply
    10,339.63x = 15,497.09 × 3,762.23
  4. Step 4: Simplify right side
    10,339.63x = 58,303,598.10
  5. Step 5: Solve for x
    x = 58,303,598.10/10,339.63
  6. Step 6: Final answer
    x = 5,638.85

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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.