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Finding the Fourth Proportional to 11,417.73, 15,751.02 and 7,166.67

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Solution

The fourth proportional to 11,417.73, 15,751.02 and 7,166.67 is: 9,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.73 : 15,751.02 = 7,166.67 : x
  2. Step 2: Convert to fraction form
    11,417.73/15,751.02 = 7,166.67/x
  3. Step 3: Cross multiply
    11,417.73x = 15,751.02 × 7,166.67
  4. Step 4: Simplify right side
    11,417.73x = 112,882,362.50
  5. Step 5: Solve for x
    x = 112,882,362.50/11,417.73
  6. Step 6: Final answer
    x = 9,886.59

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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.