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Finding the Fourth Proportional to 7,710.64, 11,567.76 and 2,516.50

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Solution

The fourth proportional to 7,710.64, 11,567.76 and 2,516.50 is: 3,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.64 : 11,567.76 = 2,516.50 : x
  2. Step 2: Convert to fraction form
    7,710.64/11,567.76 = 2,516.50/x
  3. Step 3: Cross multiply
    7,710.64x = 11,567.76 × 2,516.50
  4. Step 4: Simplify right side
    7,710.64x = 29,110,268.04
  5. Step 5: Solve for x
    x = 29,110,268.04/7,710.64
  6. Step 6: Final answer
    x = 3,775.34

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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.