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Finding the Fourth Proportional to 25,278.84, 37,916.89 and 7,748.72

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Solution

The fourth proportional to 25,278.84, 37,916.89 and 7,748.72 is: 11,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278.84 : 37,916.89 = 7,748.72 : x
  2. Step 2: Convert to fraction form
    25,278.84/37,916.89 = 7,748.72/x
  3. Step 3: Cross multiply
    25,278.84x = 37,916.89 × 7,748.72
  4. Step 4: Simplify right side
    25,278.84x = 293,807,363.88
  5. Step 5: Solve for x
    x = 293,807,363.88/25,278.84
  6. Step 6: Final answer
    x = 11,622.66

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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.