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Finding the Fourth Proportional to 11,492.27, 15,858.07 and 6,455.33

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Solution

The fourth proportional to 11,492.27, 15,858.07 and 6,455.33 is: 8,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.27 : 15,858.07 = 6,455.33 : x
  2. Step 2: Convert to fraction form
    11,492.27/15,858.07 = 6,455.33/x
  3. Step 3: Cross multiply
    11,492.27x = 15,858.07 × 6,455.33
  4. Step 4: Simplify right side
    11,492.27x = 102,369,075.01
  5. Step 5: Solve for x
    x = 102,369,075.01/11,492.27
  6. Step 6: Final answer
    x = 8,907.65

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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.