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Finding the Fourth Proportional to 10,355.95, 15,535.95 and 4,114.90

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Solution

The fourth proportional to 10,355.95, 15,535.95 and 4,114.90 is: 6,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355.95 : 15,535.95 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    10,355.95/15,535.95 = 4,114.90/x
  3. Step 3: Cross multiply
    10,355.95x = 15,535.95 × 4,114.90
  4. Step 4: Simplify right side
    10,355.95x = 63,928,880.66
  5. Step 5: Solve for x
    x = 63,928,880.66/10,355.95
  6. Step 6: Final answer
    x = 6,173.15

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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.