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Finding the Fourth Proportional to 10,364.45, 14,302.92 and 5,648.72

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Solution

The fourth proportional to 10,364.45, 14,302.92 and 5,648.72 is: 7,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.45 : 14,302.92 = 5,648.72 : x
  2. Step 2: Convert to fraction form
    10,364.45/14,302.92 = 5,648.72/x
  3. Step 3: Cross multiply
    10,364.45x = 14,302.92 × 5,648.72
  4. Step 4: Simplify right side
    10,364.45x = 80,793,118.75
  5. Step 5: Solve for x
    x = 80,793,118.75/10,364.45
  6. Step 6: Final answer
    x = 7,795.22

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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.