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Finding the Fourth Proportional to 11,443.05, 17,152.74 and 6,502.05

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Solution

The fourth proportional to 11,443.05, 17,152.74 and 6,502.05 is: 9,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.05 : 17,152.74 = 6,502.05 : x
  2. Step 2: Convert to fraction form
    11,443.05/17,152.74 = 6,502.05/x
  3. Step 3: Cross multiply
    11,443.05x = 17,152.74 × 6,502.05
  4. Step 4: Simplify right side
    11,443.05x = 111,527,973.12
  5. Step 5: Solve for x
    x = 111,527,973.12/11,443.05
  6. Step 6: Final answer
    x = 9,746.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.