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Finding the Fourth Proportional to 10,034.82, 15,061.50 and 4,773.06

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Solution

The fourth proportional to 10,034.82, 15,061.50 and 4,773.06 is: 7,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.82 : 15,061.50 = 4,773.06 : x
  2. Step 2: Convert to fraction form
    10,034.82/15,061.50 = 4,773.06/x
  3. Step 3: Cross multiply
    10,034.82x = 15,061.50 × 4,773.06
  4. Step 4: Simplify right side
    10,034.82x = 71,889,443.19
  5. Step 5: Solve for x
    x = 71,889,443.19/10,034.82
  6. Step 6: Final answer
    x = 7,164.00

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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.