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Finding the Fourth Proportional to 11,460.24, 15,815.14 and 6,492.24

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Solution

The fourth proportional to 11,460.24, 15,815.14 and 6,492.24 is: 8,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.24 : 15,815.14 = 6,492.24 : x
  2. Step 2: Convert to fraction form
    11,460.24/15,815.14 = 6,492.24/x
  3. Step 3: Cross multiply
    11,460.24x = 15,815.14 × 6,492.24
  4. Step 4: Simplify right side
    11,460.24x = 102,675,684.51
  5. Step 5: Solve for x
    x = 102,675,684.51/11,460.24
  6. Step 6: Final answer
    x = 8,959.30

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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.