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Finding the Fourth Proportional to 10,517.66, 14,515.38 and 7,860.45

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Solution

The fourth proportional to 10,517.66, 14,515.38 and 7,860.45 is: 10,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.66 : 14,515.38 = 7,860.45 : x
  2. Step 2: Convert to fraction form
    10,517.66/14,515.38 = 7,860.45/x
  3. Step 3: Cross multiply
    10,517.66x = 14,515.38 × 7,860.45
  4. Step 4: Simplify right side
    10,517.66x = 114,097,418.72
  5. Step 5: Solve for x
    x = 114,097,418.72/10,517.66
  6. Step 6: Final answer
    x = 10,848.18

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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.