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Finding the Fourth Proportional to 10,774.95, 14,869.54 and 6,059.13

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Solution

The fourth proportional to 10,774.95, 14,869.54 and 6,059.13 is: 8,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.95 : 14,869.54 = 6,059.13 : x
  2. Step 2: Convert to fraction form
    10,774.95/14,869.54 = 6,059.13/x
  3. Step 3: Cross multiply
    10,774.95x = 14,869.54 × 6,059.13
  4. Step 4: Simplify right side
    10,774.95x = 90,096,475.90
  5. Step 5: Solve for x
    x = 90,096,475.90/10,774.95
  6. Step 6: Final answer
    x = 8,361.66

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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.