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Finding the Fourth Proportional to 10,662.17, 14,719.80 and 7,083.26

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Solution

The fourth proportional to 10,662.17, 14,719.80 and 7,083.26 is: 9,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.17 : 14,719.80 = 7,083.26 : x
  2. Step 2: Convert to fraction form
    10,662.17/14,719.80 = 7,083.26/x
  3. Step 3: Cross multiply
    10,662.17x = 14,719.80 × 7,083.26
  4. Step 4: Simplify right side
    10,662.17x = 104,264,178.71
  5. Step 5: Solve for x
    x = 104,264,178.71/10,662.17
  6. Step 6: Final answer
    x = 9,778.89

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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.