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Finding the Fourth Proportional to 10,285.98, 14,194.63 and 5,570.30

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Solution

The fourth proportional to 10,285.98, 14,194.63 and 5,570.30 is: 7,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.98 : 14,194.63 = 5,570.30 : x
  2. Step 2: Convert to fraction form
    10,285.98/14,194.63 = 5,570.30/x
  3. Step 3: Cross multiply
    10,285.98x = 14,194.63 × 5,570.30
  4. Step 4: Simplify right side
    10,285.98x = 79,068,347.49
  5. Step 5: Solve for x
    x = 79,068,347.49/10,285.98
  6. Step 6: Final answer
    x = 7,687.00

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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.