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Finding the Fourth Proportional to 10,285.73, 14,194.31 and 5,570.02

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Solution

The fourth proportional to 10,285.73, 14,194.31 and 5,570.02 is: 7,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.73 : 14,194.31 = 5,570.02 : x
  2. Step 2: Convert to fraction form
    10,285.73/14,194.31 = 5,570.02/x
  3. Step 3: Cross multiply
    10,285.73x = 14,194.31 × 5,570.02
  4. Step 4: Simplify right side
    10,285.73x = 79,062,547.63
  5. Step 5: Solve for x
    x = 79,062,547.63/10,285.73
  6. Step 6: Final answer
    x = 7,686.62

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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.