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Finding the Fourth Proportional to 10,535.96, 14,539.74 and 5,820.32

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Solution

The fourth proportional to 10,535.96, 14,539.74 and 5,820.32 is: 8,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.96 : 14,539.74 = 5,820.32 : x
  2. Step 2: Convert to fraction form
    10,535.96/14,539.74 = 5,820.32/x
  3. Step 3: Cross multiply
    10,535.96x = 14,539.74 × 5,820.32
  4. Step 4: Simplify right side
    10,535.96x = 84,625,939.52
  5. Step 5: Solve for x
    x = 84,625,939.52/10,535.96
  6. Step 6: Final answer
    x = 8,032.11

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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.