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Finding the Fourth Proportional to 10,322.83, 15,482.76 and 2,927.94

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Solution

The fourth proportional to 10,322.83, 15,482.76 and 2,927.94 is: 4,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.83 : 15,482.76 = 2,927.94 : x
  2. Step 2: Convert to fraction form
    10,322.83/15,482.76 = 2,927.94/x
  3. Step 3: Cross multiply
    10,322.83x = 15,482.76 × 2,927.94
  4. Step 4: Simplify right side
    10,322.83x = 45,332,592.31
  5. Step 5: Solve for x
    x = 45,332,592.31/10,322.83
  6. Step 6: Final answer
    x = 4,391.49

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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.