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Finding the Fourth Proportional to 25,974, 38,967.48 and 7,506

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Solution

The fourth proportional to 25,974, 38,967.48 and 7,506 is: 11,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974 : 38,967.48 = 7,506 : x
  2. Step 2: Convert to fraction form
    25,974/38,967.48 = 7,506/x
  3. Step 3: Cross multiply
    25,974x = 38,967.48 × 7,506
  4. Step 4: Simplify right side
    25,974x = 292,489,904.88
  5. Step 5: Solve for x
    x = 292,489,904.88/25,974
  6. Step 6: Final answer
    x = 11,260.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.