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Finding the Fourth Proportional to 10,580.10, 14,593.91 and 6,808.17

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Solution

The fourth proportional to 10,580.10, 14,593.91 and 6,808.17 is: 9,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.10 : 14,593.91 = 6,808.17 : x
  2. Step 2: Convert to fraction form
    10,580.10/14,593.91 = 6,808.17/x
  3. Step 3: Cross multiply
    10,580.10x = 14,593.91 × 6,808.17
  4. Step 4: Simplify right side
    10,580.10x = 99,357,786.20
  5. Step 5: Solve for x
    x = 99,357,786.20/10,580.10
  6. Step 6: Final answer
    x = 9,391.01

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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.