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Finding the Fourth Proportional to 10,597.35, 14,624.52 and 5,817.74

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Solution

The fourth proportional to 10,597.35, 14,624.52 and 5,817.74 is: 8,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.35 : 14,624.52 = 5,817.74 : x
  2. Step 2: Convert to fraction form
    10,597.35/14,624.52 = 5,817.74/x
  3. Step 3: Cross multiply
    10,597.35x = 14,624.52 × 5,817.74
  4. Step 4: Simplify right side
    10,597.35x = 85,081,581.86
  5. Step 5: Solve for x
    x = 85,081,581.86/10,597.35
  6. Step 6: Final answer
    x = 8,028.57

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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.