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Finding the Fourth Proportional to 12,762.08, 19,125.72 and 6,175.12

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Solution

The fourth proportional to 12,762.08, 19,125.72 and 6,175.12 is: 9,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.08 : 19,125.72 = 6,175.12 : x
  2. Step 2: Convert to fraction form
    12,762.08/19,125.72 = 6,175.12/x
  3. Step 3: Cross multiply
    12,762.08x = 19,125.72 × 6,175.12
  4. Step 4: Simplify right side
    12,762.08x = 118,103,616.09
  5. Step 5: Solve for x
    x = 118,103,616.09/12,762.08
  6. Step 6: Final answer
    x = 9,254.26

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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.