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Finding the Fourth Proportional to 10,036.94, 13,852.71 and 5,787.23

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Solution

The fourth proportional to 10,036.94, 13,852.71 and 5,787.23 is: 7,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.94 : 13,852.71 = 5,787.23 : x
  2. Step 2: Convert to fraction form
    10,036.94/13,852.71 = 5,787.23/x
  3. Step 3: Cross multiply
    10,036.94x = 13,852.71 × 5,787.23
  4. Step 4: Simplify right side
    10,036.94x = 80,168,818.89
  5. Step 5: Solve for x
    x = 80,168,818.89/10,036.94
  6. Step 6: Final answer
    x = 7,987.38

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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.