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Finding the Fourth Proportional to 7,892.85, 10,892.02 and 4,355.98

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Solution

The fourth proportional to 7,892.85, 10,892.02 and 4,355.98 is: 6,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.85 : 10,892.02 = 4,355.98 : x
  2. Step 2: Convert to fraction form
    7,892.85/10,892.02 = 4,355.98/x
  3. Step 3: Cross multiply
    7,892.85x = 10,892.02 × 4,355.98
  4. Step 4: Simplify right side
    7,892.85x = 47,445,421.28
  5. Step 5: Solve for x
    x = 47,445,421.28/7,892.85
  6. Step 6: Final answer
    x = 6,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.