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Finding the Fourth Proportional to 27,533, 41,293.32 and 7,811.12

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Solution

The fourth proportional to 27,533, 41,293.32 and 7,811.12 is: 11,714.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533 : 41,293.32 = 7,811.12 : x
  2. Step 2: Convert to fraction form
    27,533/41,293.32 = 7,811.12/x
  3. Step 3: Cross multiply
    27,533x = 41,293.32 × 7,811.12
  4. Step 4: Simplify right side
    27,533x = 322,547,077.72
  5. Step 5: Solve for x
    x = 322,547,077.72/27,533
  6. Step 6: Final answer
    x = 11,714.93

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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.