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Finding the Fourth Proportional to 11,810.96, 16,305.04 and 9,152.40

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Solution

The fourth proportional to 11,810.96, 16,305.04 and 9,152.40 is: 12,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.96 : 16,305.04 = 9,152.40 : x
  2. Step 2: Convert to fraction form
    11,810.96/16,305.04 = 9,152.40/x
  3. Step 3: Cross multiply
    11,810.96x = 16,305.04 × 9,152.40
  4. Step 4: Simplify right side
    11,810.96x = 149,230,248.10
  5. Step 5: Solve for x
    x = 149,230,248.10/11,810.96
  6. Step 6: Final answer
    x = 12,634.90

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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.