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Finding the Fourth Proportional to 10,580.39, 14,602.46 and 6,105.68

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Solution

The fourth proportional to 10,580.39, 14,602.46 and 6,105.68 is: 8,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.39 : 14,602.46 = 6,105.68 : x
  2. Step 2: Convert to fraction form
    10,580.39/14,602.46 = 6,105.68/x
  3. Step 3: Cross multiply
    10,580.39x = 14,602.46 × 6,105.68
  4. Step 4: Simplify right side
    10,580.39x = 89,157,953.95
  5. Step 5: Solve for x
    x = 89,157,953.95/10,580.39
  6. Step 6: Final answer
    x = 8,426.72

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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.