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Finding the Fourth Proportional to 10,555.86, 14,566.99 and 5,840.04

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Solution

The fourth proportional to 10,555.86, 14,566.99 and 5,840.04 is: 8,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.86 : 14,566.99 = 5,840.04 : x
  2. Step 2: Convert to fraction form
    10,555.86/14,566.99 = 5,840.04/x
  3. Step 3: Cross multiply
    10,555.86x = 14,566.99 × 5,840.04
  4. Step 4: Simplify right side
    10,555.86x = 85,071,804.28
  5. Step 5: Solve for x
    x = 85,071,804.28/10,555.86
  6. Step 6: Final answer
    x = 8,059.20

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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.