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Finding the Fourth Proportional to 12,011.12, 16,575.74 and 6,975.03

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Solution

The fourth proportional to 12,011.12, 16,575.74 and 6,975.03 is: 9,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.12 : 16,575.74 = 6,975.03 : x
  2. Step 2: Convert to fraction form
    12,011.12/16,575.74 = 6,975.03/x
  3. Step 3: Cross multiply
    12,011.12x = 16,575.74 × 6,975.03
  4. Step 4: Simplify right side
    12,011.12x = 115,616,283.77
  5. Step 5: Solve for x
    x = 115,616,283.77/12,011.12
  6. Step 6: Final answer
    x = 9,625.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.