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Finding the Fourth Proportional to 26,045.28, 39,069 and 7,577.28

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Solution

The fourth proportional to 26,045.28, 39,069 and 7,577.28 is: 11,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,045.28 : 39,069 = 7,577.28 : x
  2. Step 2: Convert to fraction form
    26,045.28/39,069 = 7,577.28/x
  3. Step 3: Cross multiply
    26,045.28x = 39,069 × 7,577.28
  4. Step 4: Simplify right side
    26,045.28x = 296,036,752.32
  5. Step 5: Solve for x
    x = 296,036,752.32/26,045.28
  6. Step 6: Final answer
    x = 11,366.23

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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.