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Finding the Fourth Proportional to 10,774.16, 14,867.16 and 6,581.60

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Solution

The fourth proportional to 10,774.16, 14,867.16 and 6,581.60 is: 9,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.16 : 14,867.16 = 6,581.60 : x
  2. Step 2: Convert to fraction form
    10,774.16/14,867.16 = 6,581.60/x
  3. Step 3: Cross multiply
    10,774.16x = 14,867.16 × 6,581.60
  4. Step 4: Simplify right side
    10,774.16x = 97,849,625.92
  5. Step 5: Solve for x
    x = 97,849,625.92/10,774.16
  6. Step 6: Final answer
    x = 9,081.88

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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.