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Finding the Fourth Proportional to 10,364.44, 14,302.93 and 5,648.72

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Solution

The fourth proportional to 10,364.44, 14,302.93 and 5,648.72 is: 7,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.44 : 14,302.93 = 5,648.72 : x
  2. Step 2: Convert to fraction form
    10,364.44/14,302.93 = 5,648.72/x
  3. Step 3: Cross multiply
    10,364.44x = 14,302.93 × 5,648.72
  4. Step 4: Simplify right side
    10,364.44x = 80,793,268.39
  5. Step 5: Solve for x
    x = 80,793,268.39/10,364.44
  6. Step 6: Final answer
    x = 7,795.24

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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.