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Finding the Fourth Proportional to 11,895.64, 16,416.60 and 7,180.24

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Solution

The fourth proportional to 11,895.64, 16,416.60 and 7,180.24 is: 9,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.64 : 16,416.60 = 7,180.24 : x
  2. Step 2: Convert to fraction form
    11,895.64/16,416.60 = 7,180.24/x
  3. Step 3: Cross multiply
    11,895.64x = 16,416.60 × 7,180.24
  4. Step 4: Simplify right side
    11,895.64x = 117,875,127.98
  5. Step 5: Solve for x
    x = 117,875,127.98/11,895.64
  6. Step 6: Final answer
    x = 9,909.10

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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.