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Finding the Fourth Proportional to 10,315.90, 14,235.90 and 5,600.20

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Solution

The fourth proportional to 10,315.90, 14,235.90 and 5,600.20 is: 7,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.90 : 14,235.90 = 5,600.20 : x
  2. Step 2: Convert to fraction form
    10,315.90/14,235.90 = 5,600.20/x
  3. Step 3: Cross multiply
    10,315.90x = 14,235.90 × 5,600.20
  4. Step 4: Simplify right side
    10,315.90x = 79,723,887.18
  5. Step 5: Solve for x
    x = 79,723,887.18/10,315.90
  6. Step 6: Final answer
    x = 7,728.25

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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.