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Finding the Fourth Proportional to 12,702.83, 19,059.71 and 6,133.93

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Solution

The fourth proportional to 12,702.83, 19,059.71 and 6,133.93 is: 9,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.83 : 19,059.71 = 6,133.93 : x
  2. Step 2: Convert to fraction form
    12,702.83/19,059.71 = 6,133.93/x
  3. Step 3: Cross multiply
    12,702.83x = 19,059.71 × 6,133.93
  4. Step 4: Simplify right side
    12,702.83x = 116,910,848.64
  5. Step 5: Solve for x
    x = 116,910,848.64/12,702.83
  6. Step 6: Final answer
    x = 9,203.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.