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Finding the Fourth Proportional to 10,333.76, 14,264.30 and 6,142

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Solution

The fourth proportional to 10,333.76, 14,264.30 and 6,142 is: 8,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.76 : 14,264.30 = 6,142 : x
  2. Step 2: Convert to fraction form
    10,333.76/14,264.30 = 6,142/x
  3. Step 3: Cross multiply
    10,333.76x = 14,264.30 × 6,142
  4. Step 4: Simplify right side
    10,333.76x = 87,611,330.60
  5. Step 5: Solve for x
    x = 87,611,330.60/10,333.76
  6. Step 6: Final answer
    x = 8,478.17

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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.