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Finding the Fourth Proportional to 10,283.44, 15,412.82 and 4,729.16

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Solution

The fourth proportional to 10,283.44, 15,412.82 and 4,729.16 is: 7,088.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.44 : 15,412.82 = 4,729.16 : x
  2. Step 2: Convert to fraction form
    10,283.44/15,412.82 = 4,729.16/x
  3. Step 3: Cross multiply
    10,283.44x = 15,412.82 × 4,729.16
  4. Step 4: Simplify right side
    10,283.44x = 72,889,691.83
  5. Step 5: Solve for x
    x = 72,889,691.83/10,283.44
  6. Step 6: Final answer
    x = 7,088.07

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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.