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Finding the Fourth Proportional to 11,417.63, 15,756.93 and 6,940.65

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Solution

The fourth proportional to 11,417.63, 15,756.93 and 6,940.65 is: 9,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.63 : 15,756.93 = 6,940.65 : x
  2. Step 2: Convert to fraction form
    11,417.63/15,756.93 = 6,940.65/x
  3. Step 3: Cross multiply
    11,417.63x = 15,756.93 × 6,940.65
  4. Step 4: Simplify right side
    11,417.63x = 109,363,336.20
  5. Step 5: Solve for x
    x = 109,363,336.20/11,417.63
  6. Step 6: Final answer
    x = 9,578.47

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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.