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Finding the Fourth Proportional to 12,776.18, 17,631.62 and 7,111.16

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Solution

The fourth proportional to 12,776.18, 17,631.62 and 7,111.16 is: 9,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.18 : 17,631.62 = 7,111.16 : x
  2. Step 2: Convert to fraction form
    12,776.18/17,631.62 = 7,111.16/x
  3. Step 3: Cross multiply
    12,776.18x = 17,631.62 × 7,111.16
  4. Step 4: Simplify right side
    12,776.18x = 125,381,332.74
  5. Step 5: Solve for x
    x = 125,381,332.74/12,776.18
  6. Step 6: Final answer
    x = 9,813.68

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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.