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Finding the Fourth Proportional to 10,608.42, 15,897.56 and 7,813.16

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Solution

The fourth proportional to 10,608.42, 15,897.56 and 7,813.16 is: 11,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.42 : 15,897.56 = 7,813.16 : x
  2. Step 2: Convert to fraction form
    10,608.42/15,897.56 = 7,813.16/x
  3. Step 3: Cross multiply
    10,608.42x = 15,897.56 × 7,813.16
  4. Step 4: Simplify right side
    10,608.42x = 124,210,179.89
  5. Step 5: Solve for x
    x = 124,210,179.89/10,608.42
  6. Step 6: Final answer
    x = 11,708.64

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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.