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Finding the Fourth Proportional to 10,768.79, 14,858.75 and 6,291.67

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Solution

The fourth proportional to 10,768.79, 14,858.75 and 6,291.67 is: 8,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.79 : 14,858.75 = 6,291.67 : x
  2. Step 2: Convert to fraction form
    10,768.79/14,858.75 = 6,291.67/x
  3. Step 3: Cross multiply
    10,768.79x = 14,858.75 × 6,291.67
  4. Step 4: Simplify right side
    10,768.79x = 93,486,378.38
  5. Step 5: Solve for x
    x = 93,486,378.38/10,768.79
  6. Step 6: Final answer
    x = 8,681.24

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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.