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Finding the Fourth Proportional to 10,774.74, 14,864.43 and 6,580.50

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Solution

The fourth proportional to 10,774.74, 14,864.43 and 6,580.50 is: 9,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.74 : 14,864.43 = 6,580.50 : x
  2. Step 2: Convert to fraction form
    10,774.74/14,864.43 = 6,580.50/x
  3. Step 3: Cross multiply
    10,774.74x = 14,864.43 × 6,580.50
  4. Step 4: Simplify right side
    10,774.74x = 97,815,381.62
  5. Step 5: Solve for x
    x = 97,815,381.62/10,774.74
  6. Step 6: Final answer
    x = 9,078.21

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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.