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Finding the Fourth Proportional to 7,664, 10,577.60 and 5,797.76

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Solution

The fourth proportional to 7,664, 10,577.60 and 5,797.76 is: 8,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664 : 10,577.60 = 5,797.76 : x
  2. Step 2: Convert to fraction form
    7,664/10,577.60 = 5,797.76/x
  3. Step 3: Cross multiply
    7,664x = 10,577.60 × 5,797.76
  4. Step 4: Simplify right side
    7,664x = 61,326,386.18
  5. Step 5: Solve for x
    x = 61,326,386.18/7,664
  6. Step 6: Final answer
    x = 8,001.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.