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Finding the Fourth Proportional to 10,835.49, 14,944.47 and 7,059.84

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Solution

The fourth proportional to 10,835.49, 14,944.47 and 7,059.84 is: 9,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.49 : 14,944.47 = 7,059.84 : x
  2. Step 2: Convert to fraction form
    10,835.49/14,944.47 = 7,059.84/x
  3. Step 3: Cross multiply
    10,835.49x = 14,944.47 × 7,059.84
  4. Step 4: Simplify right side
    10,835.49x = 105,505,567.08
  5. Step 5: Solve for x
    x = 105,505,567.08/10,835.49
  6. Step 6: Final answer
    x = 9,737.04

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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.