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Finding the Fourth Proportional to 7,710.13, 11,567.01 and 2,516

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Solution

The fourth proportional to 7,710.13, 11,567.01 and 2,516 is: 3,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.13 : 11,567.01 = 2,516 : x
  2. Step 2: Convert to fraction form
    7,710.13/11,567.01 = 2,516/x
  3. Step 3: Cross multiply
    7,710.13x = 11,567.01 × 2,516
  4. Step 4: Simplify right side
    7,710.13x = 29,102,597.16
  5. Step 5: Solve for x
    x = 29,102,597.16/7,710.13
  6. Step 6: Final answer
    x = 3,774.59

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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.