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Finding the Fourth Proportional to 10,436.16, 14,401.92 and 5,720.40

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Solution

The fourth proportional to 10,436.16, 14,401.92 and 5,720.40 is: 7,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.16 : 14,401.92 = 5,720.40 : x
  2. Step 2: Convert to fraction form
    10,436.16/14,401.92 = 5,720.40/x
  3. Step 3: Cross multiply
    10,436.16x = 14,401.92 × 5,720.40
  4. Step 4: Simplify right side
    10,436.16x = 82,384,743.17
  5. Step 5: Solve for x
    x = 82,384,743.17/10,436.16
  6. Step 6: Final answer
    x = 7,894.16

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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.