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Finding the Fourth Proportional to 8,770.98, 13,158.09 and 7,534.92

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Solution

The fourth proportional to 8,770.98, 13,158.09 and 7,534.92 is: 11,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.98 : 13,158.09 = 7,534.92 : x
  2. Step 2: Convert to fraction form
    8,770.98/13,158.09 = 7,534.92/x
  3. Step 3: Cross multiply
    8,770.98x = 13,158.09 × 7,534.92
  4. Step 4: Simplify right side
    8,770.98x = 99,145,155.50
  5. Step 5: Solve for x
    x = 99,145,155.50/8,770.98
  6. Step 6: Final answer
    x = 11,303.77

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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.