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Finding the Fourth Proportional to 10,435.99, 14,401.70 and 5,720.35

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Solution

The fourth proportional to 10,435.99, 14,401.70 and 5,720.35 is: 7,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.99 : 14,401.70 = 5,720.35 : x
  2. Step 2: Convert to fraction form
    10,435.99/14,401.70 = 5,720.35/x
  3. Step 3: Cross multiply
    10,435.99x = 14,401.70 × 5,720.35
  4. Step 4: Simplify right side
    10,435.99x = 82,382,764.60
  5. Step 5: Solve for x
    x = 82,382,764.60/10,435.99
  6. Step 6: Final answer
    x = 7,894.10

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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.