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Finding the Fourth Proportional to 10,579.70, 14,566.74 and 8,983.02

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Solution

The fourth proportional to 10,579.70, 14,566.74 and 8,983.02 is: 12,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.70 : 14,566.74 = 8,983.02 : x
  2. Step 2: Convert to fraction form
    10,579.70/14,566.74 = 8,983.02/x
  3. Step 3: Cross multiply
    10,579.70x = 14,566.74 × 8,983.02
  4. Step 4: Simplify right side
    10,579.70x = 130,853,266.38
  5. Step 5: Solve for x
    x = 130,853,266.38/10,579.70
  6. Step 6: Final answer
    x = 12,368.34

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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.