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Finding the Fourth Proportional to 11,533.94, 15,917.42 and 7,056.29

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Solution

The fourth proportional to 11,533.94, 15,917.42 and 7,056.29 is: 9,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.94 : 15,917.42 = 7,056.29 : x
  2. Step 2: Convert to fraction form
    11,533.94/15,917.42 = 7,056.29/x
  3. Step 3: Cross multiply
    11,533.94x = 15,917.42 × 7,056.29
  4. Step 4: Simplify right side
    11,533.94x = 112,317,931.57
  5. Step 5: Solve for x
    x = 112,317,931.57/11,533.94
  6. Step 6: Final answer
    x = 9,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.