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Finding the Fourth Proportional to 10,555.34, 15,833.00 and 5,005.65

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Solution

The fourth proportional to 10,555.34, 15,833.00 and 5,005.65 is: 7,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.34 : 15,833.00 = 5,005.65 : x
  2. Step 2: Convert to fraction form
    10,555.34/15,833.00 = 5,005.65/x
  3. Step 3: Cross multiply
    10,555.34x = 15,833.00 × 5,005.65
  4. Step 4: Simplify right side
    10,555.34x = 79,254,500.18
  5. Step 5: Solve for x
    x = 79,254,500.18/10,555.34
  6. Step 6: Final answer
    x = 7,508.48

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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.