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Finding the Fourth Proportional to 27,284.16, 40,927.01 and 7,564.17

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Solution

The fourth proportional to 27,284.16, 40,927.01 and 7,564.17 is: 11,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.16 : 40,927.01 = 7,564.17 : x
  2. Step 2: Convert to fraction form
    27,284.16/40,927.01 = 7,564.17/x
  3. Step 3: Cross multiply
    27,284.16x = 40,927.01 × 7,564.17
  4. Step 4: Simplify right side
    27,284.16x = 309,578,823.41
  5. Step 5: Solve for x
    x = 309,578,823.41/27,284.16
  6. Step 6: Final answer
    x = 11,346.47

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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.