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Finding the Fourth Proportional to 10,157.04, 15,241.40 and 5,477.04

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Solution

The fourth proportional to 10,157.04, 15,241.40 and 5,477.04 is: 8,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.04 : 15,241.40 = 5,477.04 : x
  2. Step 2: Convert to fraction form
    10,157.04/15,241.40 = 5,477.04/x
  3. Step 3: Cross multiply
    10,157.04x = 15,241.40 × 5,477.04
  4. Step 4: Simplify right side
    10,157.04x = 83,477,730.07
  5. Step 5: Solve for x
    x = 83,477,730.07/10,157.04
  6. Step 6: Final answer
    x = 8,218.71

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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.