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Finding the Fourth Proportional to 10,581.72, 14,602.08 and 5,865.84

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Solution

The fourth proportional to 10,581.72, 14,602.08 and 5,865.84 is: 8,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.72 : 14,602.08 = 5,865.84 : x
  2. Step 2: Convert to fraction form
    10,581.72/14,602.08 = 5,865.84/x
  3. Step 3: Cross multiply
    10,581.72x = 14,602.08 × 5,865.84
  4. Step 4: Simplify right side
    10,581.72x = 85,653,464.95
  5. Step 5: Solve for x
    x = 85,653,464.95/10,581.72
  6. Step 6: Final answer
    x = 8,094.47

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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.