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Finding the Fourth Proportional to 10,341.36, 15,507.18 and 3,411

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Solution

The fourth proportional to 10,341.36, 15,507.18 and 3,411 is: 5,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.36 : 15,507.18 = 3,411 : x
  2. Step 2: Convert to fraction form
    10,341.36/15,507.18 = 3,411/x
  3. Step 3: Cross multiply
    10,341.36x = 15,507.18 × 3,411
  4. Step 4: Simplify right side
    10,341.36x = 52,894,990.98
  5. Step 5: Solve for x
    x = 52,894,990.98/10,341.36
  6. Step 6: Final answer
    x = 5,114.90

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Why These Related Problems?

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