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Finding the Fourth Proportional to 10,986.51, 15,157.62 and 6,205.89

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Solution

The fourth proportional to 10,986.51, 15,157.62 and 6,205.89 is: 8,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.51 : 15,157.62 = 6,205.89 : x
  2. Step 2: Convert to fraction form
    10,986.51/15,157.62 = 6,205.89/x
  3. Step 3: Cross multiply
    10,986.51x = 15,157.62 × 6,205.89
  4. Step 4: Simplify right side
    10,986.51x = 94,066,522.38
  5. Step 5: Solve for x
    x = 94,066,522.38/10,986.51
  6. Step 6: Final answer
    x = 8,562.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.