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Finding the Fourth Proportional to 10,357.85, 14,288.94 and 7,001.84

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Solution

The fourth proportional to 10,357.85, 14,288.94 and 7,001.84 is: 9,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.85 : 14,288.94 = 7,001.84 : x
  2. Step 2: Convert to fraction form
    10,357.85/14,288.94 = 7,001.84/x
  3. Step 3: Cross multiply
    10,357.85x = 14,288.94 × 7,001.84
  4. Step 4: Simplify right side
    10,357.85x = 100,048,907.37
  5. Step 5: Solve for x
    x = 100,048,907.37/10,357.85
  6. Step 6: Final answer
    x = 9,659.23

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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.