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Finding the Fourth Proportional to 6,365.31, 8,780.16 and 4,095.69

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Solution

The fourth proportional to 6,365.31, 8,780.16 and 4,095.69 is: 5,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.31 : 8,780.16 = 4,095.69 : x
  2. Step 2: Convert to fraction form
    6,365.31/8,780.16 = 4,095.69/x
  3. Step 3: Cross multiply
    6,365.31x = 8,780.16 × 4,095.69
  4. Step 4: Simplify right side
    6,365.31x = 35,960,813.51
  5. Step 5: Solve for x
    x = 35,960,813.51/6,365.31
  6. Step 6: Final answer
    x = 5,649.50

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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.