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Finding the Fourth Proportional to 10,570.98, 14,584.64 and 7,034.78

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Solution

The fourth proportional to 10,570.98, 14,584.64 and 7,034.78 is: 9,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.98 : 14,584.64 = 7,034.78 : x
  2. Step 2: Convert to fraction form
    10,570.98/14,584.64 = 7,034.78/x
  3. Step 3: Cross multiply
    10,570.98x = 14,584.64 × 7,034.78
  4. Step 4: Simplify right side
    10,570.98x = 102,599,733.78
  5. Step 5: Solve for x
    x = 102,599,733.78/10,570.98
  6. Step 6: Final answer
    x = 9,705.79

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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.