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Finding the Fourth Proportional to 10,555.34, 15,833.00 and 4,548.95

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Solution

The fourth proportional to 10,555.34, 15,833.00 and 4,548.95 is: 6,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.34 : 15,833.00 = 4,548.95 : x
  2. Step 2: Convert to fraction form
    10,555.34/15,833.00 = 4,548.95/x
  3. Step 3: Cross multiply
    10,555.34x = 15,833.00 × 4,548.95
  4. Step 4: Simplify right side
    10,555.34x = 72,023,516.93
  5. Step 5: Solve for x
    x = 72,023,516.93/10,555.34
  6. Step 6: Final answer
    x = 6,823.42

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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.