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Finding the Fourth Proportional to 11,509.06, 15,881.16 and 6,473.02

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Solution

The fourth proportional to 11,509.06, 15,881.16 and 6,473.02 is: 8,932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.06 : 15,881.16 = 6,473.02 : x
  2. Step 2: Convert to fraction form
    11,509.06/15,881.16 = 6,473.02/x
  3. Step 3: Cross multiply
    11,509.06x = 15,881.16 × 6,473.02
  4. Step 4: Simplify right side
    11,509.06x = 102,799,066.30
  5. Step 5: Solve for x
    x = 102,799,066.30/11,509.06
  6. Step 6: Final answer
    x = 8,932.01

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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.