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Finding the Fourth Proportional to 11,656.32, 16,088.56 and 7,406.08

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Solution

The fourth proportional to 11,656.32, 16,088.56 and 7,406.08 is: 10,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.32 : 16,088.56 = 7,406.08 : x
  2. Step 2: Convert to fraction form
    11,656.32/16,088.56 = 7,406.08/x
  3. Step 3: Cross multiply
    11,656.32x = 16,088.56 × 7,406.08
  4. Step 4: Simplify right side
    11,656.32x = 119,153,162.44
  5. Step 5: Solve for x
    x = 119,153,162.44/11,656.32
  6. Step 6: Final answer
    x = 10,222.19

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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.