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Finding the Fourth Proportional to 10,567.38, 15,822.18 and 6,860.37

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Solution

The fourth proportional to 10,567.38, 15,822.18 and 6,860.37 is: 10,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.38 : 15,822.18 = 6,860.37 : x
  2. Step 2: Convert to fraction form
    10,567.38/15,822.18 = 6,860.37/x
  3. Step 3: Cross multiply
    10,567.38x = 15,822.18 × 6,860.37
  4. Step 4: Simplify right side
    10,567.38x = 108,546,009.01
  5. Step 5: Solve for x
    x = 108,546,009.01/10,567.38
  6. Step 6: Final answer
    x = 10,271.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.