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Finding the Fourth Proportional to 7,740.50, 11,605.88 and 5,105.16

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Solution

The fourth proportional to 7,740.50, 11,605.88 and 5,105.16 is: 7,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.50 : 11,605.88 = 5,105.16 : x
  2. Step 2: Convert to fraction form
    7,740.50/11,605.88 = 5,105.16/x
  3. Step 3: Cross multiply
    7,740.50x = 11,605.88 × 5,105.16
  4. Step 4: Simplify right side
    7,740.50x = 59,249,887.10
  5. Step 5: Solve for x
    x = 59,249,887.10/7,740.50
  6. Step 6: Final answer
    x = 7,654.53

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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.