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Finding the Fourth Proportional to 10,315.50, 15,475.95 and 3,390

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Solution

The fourth proportional to 10,315.50, 15,475.95 and 3,390 is: 5,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.50 : 15,475.95 = 3,390 : x
  2. Step 2: Convert to fraction form
    10,315.50/15,475.95 = 3,390/x
  3. Step 3: Cross multiply
    10,315.50x = 15,475.95 × 3,390
  4. Step 4: Simplify right side
    10,315.50x = 52,463,470.50
  5. Step 5: Solve for x
    x = 52,463,470.50/10,315.50
  6. Step 6: Final answer
    x = 5,085.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.