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Finding the Fourth Proportional to 7,860.30, 10,852.29 and 5,211.30

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Solution

The fourth proportional to 7,860.30, 10,852.29 and 5,211.30 is: 7,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.30 : 10,852.29 = 5,211.30 : x
  2. Step 2: Convert to fraction form
    7,860.30/10,852.29 = 5,211.30/x
  3. Step 3: Cross multiply
    7,860.30x = 10,852.29 × 5,211.30
  4. Step 4: Simplify right side
    7,860.30x = 56,554,538.88
  5. Step 5: Solve for x
    x = 56,554,538.88/7,860.30
  6. Step 6: Final answer
    x = 7,194.96

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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.