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Finding the Fourth Proportional to 10,436.16, 14,402.16 and 5,720.88

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Solution

The fourth proportional to 10,436.16, 14,402.16 and 5,720.88 is: 7,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.16 : 14,402.16 = 5,720.88 : x
  2. Step 2: Convert to fraction form
    10,436.16/14,402.16 = 5,720.88/x
  3. Step 3: Cross multiply
    10,436.16x = 14,402.16 × 5,720.88
  4. Step 4: Simplify right side
    10,436.16x = 82,393,029.10
  5. Step 5: Solve for x
    x = 82,393,029.10/10,436.16
  6. Step 6: Final answer
    x = 7,894.96

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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.