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Finding the Fourth Proportional to 10,553.64, 14,564.70 and 6,774.96

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Solution

The fourth proportional to 10,553.64, 14,564.70 and 6,774.96 is: 9,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.64 : 14,564.70 = 6,774.96 : x
  2. Step 2: Convert to fraction form
    10,553.64/14,564.70 = 6,774.96/x
  3. Step 3: Cross multiply
    10,553.64x = 14,564.70 × 6,774.96
  4. Step 4: Simplify right side
    10,553.64x = 98,675,259.91
  5. Step 5: Solve for x
    x = 98,675,259.91/10,553.64
  6. Step 6: Final answer
    x = 9,349.88

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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.