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Finding the Fourth Proportional to 7,710.62, 11,567.10 and 2,515.28

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Solution

The fourth proportional to 7,710.62, 11,567.10 and 2,515.28 is: 3,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.62 : 11,567.10 = 2,515.28 : x
  2. Step 2: Convert to fraction form
    7,710.62/11,567.10 = 2,515.28/x
  3. Step 3: Cross multiply
    7,710.62x = 11,567.10 × 2,515.28
  4. Step 4: Simplify right side
    7,710.62x = 29,094,495.29
  5. Step 5: Solve for x
    x = 29,094,495.29/7,710.62
  6. Step 6: Final answer
    x = 3,773.30

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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.