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Finding the Fourth Proportional to 7,858.95, 11,788.59 and 6,291.69

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Solution

The fourth proportional to 7,858.95, 11,788.59 and 6,291.69 is: 9,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.95 : 11,788.59 = 6,291.69 : x
  2. Step 2: Convert to fraction form
    7,858.95/11,788.59 = 6,291.69/x
  3. Step 3: Cross multiply
    7,858.95x = 11,788.59 × 6,291.69
  4. Step 4: Simplify right side
    7,858.95x = 74,170,153.82
  5. Step 5: Solve for x
    x = 74,170,153.82/7,858.95
  6. Step 6: Final answer
    x = 9,437.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.