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Finding the Fourth Proportional to 11,284.86, 15,573.99 and 6,506.34

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Solution

The fourth proportional to 11,284.86, 15,573.99 and 6,506.34 is: 8,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.86 : 15,573.99 = 6,506.34 : x
  2. Step 2: Convert to fraction form
    11,284.86/15,573.99 = 6,506.34/x
  3. Step 3: Cross multiply
    11,284.86x = 15,573.99 × 6,506.34
  4. Step 4: Simplify right side
    11,284.86x = 101,329,674.10
  5. Step 5: Solve for x
    x = 101,329,674.10/11,284.86
  6. Step 6: Final answer
    x = 8,979.26

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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.