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Finding the Fourth Proportional to 10,829.46, 14,951.07 and 6,853.98

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Solution

The fourth proportional to 10,829.46, 14,951.07 and 6,853.98 is: 9,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.46 : 14,951.07 = 6,853.98 : x
  2. Step 2: Convert to fraction form
    10,829.46/14,951.07 = 6,853.98/x
  3. Step 3: Cross multiply
    10,829.46x = 14,951.07 × 6,853.98
  4. Step 4: Simplify right side
    10,829.46x = 102,474,334.76
  5. Step 5: Solve for x
    x = 102,474,334.76/10,829.46
  6. Step 6: Final answer
    x = 9,462.55

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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.