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Finding the Fourth Proportional to 10,846.08, 14,967.44 and 5,878.08

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Solution

The fourth proportional to 10,846.08, 14,967.44 and 5,878.08 is: 8,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.08 : 14,967.44 = 5,878.08 : x
  2. Step 2: Convert to fraction form
    10,846.08/14,967.44 = 5,878.08/x
  3. Step 3: Cross multiply
    10,846.08x = 14,967.44 × 5,878.08
  4. Step 4: Simplify right side
    10,846.08x = 87,979,809.72
  5. Step 5: Solve for x
    x = 87,979,809.72/10,846.08
  6. Step 6: Final answer
    x = 8,111.67

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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.