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Finding the Fourth Proportional to 10,522.74, 15,780 and 3,945.33

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Solution

The fourth proportional to 10,522.74, 15,780 and 3,945.33 is: 5,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.74 : 15,780 = 3,945.33 : x
  2. Step 2: Convert to fraction form
    10,522.74/15,780 = 3,945.33/x
  3. Step 3: Cross multiply
    10,522.74x = 15,780 × 3,945.33
  4. Step 4: Simplify right side
    10,522.74x = 62,257,307.40
  5. Step 5: Solve for x
    x = 62,257,307.40/10,522.74
  6. Step 6: Final answer
    x = 5,916.45

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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.