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Finding the Fourth Proportional to 12,776.32, 17,631.12 and 7,111

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Solution

The fourth proportional to 12,776.32, 17,631.12 and 7,111 is: 9,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.32 : 17,631.12 = 7,111 : x
  2. Step 2: Convert to fraction form
    12,776.32/17,631.12 = 7,111/x
  3. Step 3: Cross multiply
    12,776.32x = 17,631.12 × 7,111
  4. Step 4: Simplify right side
    12,776.32x = 125,374,894.32
  5. Step 5: Solve for x
    x = 125,374,894.32/12,776.32
  6. Step 6: Final answer
    x = 9,813.07

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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.