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Finding the Fourth Proportional to 11,897.94, 16,416.06 and 7,180.50

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Solution

The fourth proportional to 11,897.94, 16,416.06 and 7,180.50 is: 9,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.94 : 16,416.06 = 7,180.50 : x
  2. Step 2: Convert to fraction form
    11,897.94/16,416.06 = 7,180.50/x
  3. Step 3: Cross multiply
    11,897.94x = 16,416.06 × 7,180.50
  4. Step 4: Simplify right side
    11,897.94x = 117,875,518.83
  5. Step 5: Solve for x
    x = 117,875,518.83/11,897.94
  6. Step 6: Final answer
    x = 9,907.22

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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.