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Finding the Fourth Proportional to 10,385.58, 14,332.93 and 5,910.70

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Solution

The fourth proportional to 10,385.58, 14,332.93 and 5,910.70 is: 8,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.58 : 14,332.93 = 5,910.70 : x
  2. Step 2: Convert to fraction form
    10,385.58/14,332.93 = 5,910.70/x
  3. Step 3: Cross multiply
    10,385.58x = 14,332.93 × 5,910.70
  4. Step 4: Simplify right side
    10,385.58x = 84,717,649.35
  5. Step 5: Solve for x
    x = 84,717,649.35/10,385.58
  6. Step 6: Final answer
    x = 8,157.24

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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.