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Finding the Fourth Proportional to 12,117.76, 16,718.40 and 7,874.16

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Solution

The fourth proportional to 12,117.76, 16,718.40 and 7,874.16 is: 10,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.76 : 16,718.40 = 7,874.16 : x
  2. Step 2: Convert to fraction form
    12,117.76/16,718.40 = 7,874.16/x
  3. Step 3: Cross multiply
    12,117.76x = 16,718.40 × 7,874.16
  4. Step 4: Simplify right side
    12,117.76x = 131,643,356.54
  5. Step 5: Solve for x
    x = 131,643,356.54/12,117.76
  6. Step 6: Final answer
    x = 10,863.67

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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.