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Finding the Fourth Proportional to 7,657, 11,490.90 and 3,041.08

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Solution

The fourth proportional to 7,657, 11,490.90 and 3,041.08 is: 4,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657 : 11,490.90 = 3,041.08 : x
  2. Step 2: Convert to fraction form
    7,657/11,490.90 = 3,041.08/x
  3. Step 3: Cross multiply
    7,657x = 11,490.90 × 3,041.08
  4. Step 4: Simplify right side
    7,657x = 34,944,746.17
  5. Step 5: Solve for x
    x = 34,944,746.17/7,657
  6. Step 6: Final answer
    x = 4,563.76

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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.