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Finding the Fourth Proportional to 11,509.76, 15,883.08 and 6,474.08

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Solution

The fourth proportional to 11,509.76, 15,883.08 and 6,474.08 is: 8,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.76 : 15,883.08 = 6,474.08 : x
  2. Step 2: Convert to fraction form
    11,509.76/15,883.08 = 6,474.08/x
  3. Step 3: Cross multiply
    11,509.76x = 15,883.08 × 6,474.08
  4. Step 4: Simplify right side
    11,509.76x = 102,828,330.57
  5. Step 5: Solve for x
    x = 102,828,330.57/11,509.76
  6. Step 6: Final answer
    x = 8,934.01

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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.