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Finding the Fourth Proportional to 7,720.18, 11,512.45 and 7,650

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Solution

The fourth proportional to 7,720.18, 11,512.45 and 7,650 is: 11,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.18 : 11,512.45 = 7,650 : x
  2. Step 2: Convert to fraction form
    7,720.18/11,512.45 = 7,650/x
  3. Step 3: Cross multiply
    7,720.18x = 11,512.45 × 7,650
  4. Step 4: Simplify right side
    7,720.18x = 88,070,242.50
  5. Step 5: Solve for x
    x = 88,070,242.50/7,720.18
  6. Step 6: Final answer
    x = 11,407.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.