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Finding the Fourth Proportional to 10,133.69, 13,984.73 and 6,357.02

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Solution

The fourth proportional to 10,133.69, 13,984.73 and 6,357.02 is: 8,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.69 : 13,984.73 = 6,357.02 : x
  2. Step 2: Convert to fraction form
    10,133.69/13,984.73 = 6,357.02/x
  3. Step 3: Cross multiply
    10,133.69x = 13,984.73 × 6,357.02
  4. Step 4: Simplify right side
    10,133.69x = 88,901,106.60
  5. Step 5: Solve for x
    x = 88,901,106.60/10,133.69
  6. Step 6: Final answer
    x = 8,772.82

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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.