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Finding the Fourth Proportional to 10,047.12, 13,864.79 and 5,570.84

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Solution

The fourth proportional to 10,047.12, 13,864.79 and 5,570.84 is: 7,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.12 : 13,864.79 = 5,570.84 : x
  2. Step 2: Convert to fraction form
    10,047.12/13,864.79 = 5,570.84/x
  3. Step 3: Cross multiply
    10,047.12x = 13,864.79 × 5,570.84
  4. Step 4: Simplify right side
    10,047.12x = 77,238,429.55
  5. Step 5: Solve for x
    x = 77,238,429.55/10,047.12
  6. Step 6: Final answer
    x = 7,687.62

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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.