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Finding the Fourth Proportional to 10,034.72, 13,848.93 and 5,785.94

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Solution

The fourth proportional to 10,034.72, 13,848.93 and 5,785.94 is: 7,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.72 : 13,848.93 = 5,785.94 : x
  2. Step 2: Convert to fraction form
    10,034.72/13,848.93 = 5,785.94/x
  3. Step 3: Cross multiply
    10,034.72x = 13,848.93 × 5,785.94
  4. Step 4: Simplify right side
    10,034.72x = 80,129,008.80
  5. Step 5: Solve for x
    x = 80,129,008.80/10,034.72
  6. Step 6: Final answer
    x = 7,985.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.