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Finding the Fourth Proportional to 10,581, 14,602.29 and 5,865.28

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Solution

The fourth proportional to 10,581, 14,602.29 and 5,865.28 is: 8,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581 : 14,602.29 = 5,865.28 : x
  2. Step 2: Convert to fraction form
    10,581/14,602.29 = 5,865.28/x
  3. Step 3: Cross multiply
    10,581x = 14,602.29 × 5,865.28
  4. Step 4: Simplify right side
    10,581x = 85,646,515.75
  5. Step 5: Solve for x
    x = 85,646,515.75/10,581
  6. Step 6: Final answer
    x = 8,094.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.