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Finding the Fourth Proportional to 7,852.01, 10,835.78 and 4,315.14

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Solution

The fourth proportional to 7,852.01, 10,835.78 and 4,315.14 is: 5,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.01 : 10,835.78 = 4,315.14 : x
  2. Step 2: Convert to fraction form
    7,852.01/10,835.78 = 4,315.14/x
  3. Step 3: Cross multiply
    7,852.01x = 10,835.78 × 4,315.14
  4. Step 4: Simplify right side
    7,852.01x = 46,757,886.13
  5. Step 5: Solve for x
    x = 46,757,886.13/7,852.01
  6. Step 6: Final answer
    x = 5,954.90

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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.