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Finding the Fourth Proportional to 11,434.94, 15,778.77 and 6,656.42

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Solution

The fourth proportional to 11,434.94, 15,778.77 and 6,656.42 is: 9,185.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.94 : 15,778.77 = 6,656.42 : x
  2. Step 2: Convert to fraction form
    11,434.94/15,778.77 = 6,656.42/x
  3. Step 3: Cross multiply
    11,434.94x = 15,778.77 × 6,656.42
  4. Step 4: Simplify right side
    11,434.94x = 105,030,159.65
  5. Step 5: Solve for x
    x = 105,030,159.65/11,434.94
  6. Step 6: Final answer
    x = 9,185.02

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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.