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Finding the Fourth Proportional to 10,765.50, 14,854.75 and 6,289.44

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Solution

The fourth proportional to 10,765.50, 14,854.75 and 6,289.44 is: 8,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.50 : 14,854.75 = 6,289.44 : x
  2. Step 2: Convert to fraction form
    10,765.50/14,854.75 = 6,289.44/x
  3. Step 3: Cross multiply
    10,765.50x = 14,854.75 × 6,289.44
  4. Step 4: Simplify right side
    10,765.50x = 93,428,058.84
  5. Step 5: Solve for x
    x = 93,428,058.84/10,765.50
  6. Step 6: Final answer
    x = 8,678.47

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