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Finding the Fourth Proportional to 11,450.58, 15,806.57 and 7,870.68

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Solution

The fourth proportional to 11,450.58, 15,806.57 and 7,870.68 is: 10,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.58 : 15,806.57 = 7,870.68 : x
  2. Step 2: Convert to fraction form
    11,450.58/15,806.57 = 7,870.68/x
  3. Step 3: Cross multiply
    11,450.58x = 15,806.57 × 7,870.68
  4. Step 4: Simplify right side
    11,450.58x = 124,408,415.01
  5. Step 5: Solve for x
    x = 124,408,415.01/11,450.58
  6. Step 6: Final answer
    x = 10,864.81

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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.