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Finding the Fourth Proportional to 11,830.02, 16,308.46 and 9,307.78

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Solution

The fourth proportional to 11,830.02, 16,308.46 and 9,307.78 is: 12,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.02 : 16,308.46 = 9,307.78 : x
  2. Step 2: Convert to fraction form
    11,830.02/16,308.46 = 9,307.78/x
  3. Step 3: Cross multiply
    11,830.02x = 16,308.46 × 9,307.78
  4. Step 4: Simplify right side
    11,830.02x = 151,795,557.82
  5. Step 5: Solve for x
    x = 151,795,557.82/11,830.02
  6. Step 6: Final answer
    x = 12,831.39

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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.