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Finding the Fourth Proportional to 10,385.60, 14,331.62 and 5,908.93

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Solution

The fourth proportional to 10,385.60, 14,331.62 and 5,908.93 is: 8,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.60 : 14,331.62 = 5,908.93 : x
  2. Step 2: Convert to fraction form
    10,385.60/14,331.62 = 5,908.93/x
  3. Step 3: Cross multiply
    10,385.60x = 14,331.62 × 5,908.93
  4. Step 4: Simplify right side
    10,385.60x = 84,684,539.37
  5. Step 5: Solve for x
    x = 84,684,539.37/10,385.60
  6. Step 6: Final answer
    x = 8,154.03

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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.