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Finding the Fourth Proportional to 10,520.30, 14,518.00 and 5,804.58

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Solution

The fourth proportional to 10,520.30, 14,518.00 and 5,804.58 is: 8,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.30 : 14,518.00 = 5,804.58 : x
  2. Step 2: Convert to fraction form
    10,520.30/14,518.00 = 5,804.58/x
  3. Step 3: Cross multiply
    10,520.30x = 14,518.00 × 5,804.58
  4. Step 4: Simplify right side
    10,520.30x = 84,270,899.70
  5. Step 5: Solve for x
    x = 84,270,899.70/10,520.30
  6. Step 6: Final answer
    x = 8,010.31

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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.