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Finding the Fourth Proportional to 11,870.10, 16,375.59 and 7,151.67

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Solution

The fourth proportional to 11,870.10, 16,375.59 and 7,151.67 is: 9,866.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.10 : 16,375.59 = 7,151.67 : x
  2. Step 2: Convert to fraction form
    11,870.10/16,375.59 = 7,151.67/x
  3. Step 3: Cross multiply
    11,870.10x = 16,375.59 × 7,151.67
  4. Step 4: Simplify right side
    11,870.10x = 117,112,815.74
  5. Step 5: Solve for x
    x = 117,112,815.74/11,870.10
  6. Step 6: Final answer
    x = 9,866.20

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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.