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Finding the Fourth Proportional to 10,595.41, 14,619.21 and 6,345.68

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Solution

The fourth proportional to 10,595.41, 14,619.21 and 6,345.68 is: 8,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.41 : 14,619.21 = 6,345.68 : x
  2. Step 2: Convert to fraction form
    10,595.41/14,619.21 = 6,345.68/x
  3. Step 3: Cross multiply
    10,595.41x = 14,619.21 × 6,345.68
  4. Step 4: Simplify right side
    10,595.41x = 92,768,845.41
  5. Step 5: Solve for x
    x = 92,768,845.41/10,595.41
  6. Step 6: Final answer
    x = 8,755.57

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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.