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Finding the Fourth Proportional to 10,253.36, 15,370.32 and 3,323

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Solution

The fourth proportional to 10,253.36, 15,370.32 and 3,323 is: 4,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.36 : 15,370.32 = 3,323 : x
  2. Step 2: Convert to fraction form
    10,253.36/15,370.32 = 3,323/x
  3. Step 3: Cross multiply
    10,253.36x = 15,370.32 × 3,323
  4. Step 4: Simplify right side
    10,253.36x = 51,075,573.36
  5. Step 5: Solve for x
    x = 51,075,573.36/10,253.36
  6. Step 6: Final answer
    x = 4,981.35

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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.