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Finding the Fourth Proportional to 10,205.58, 15,312 and 4,362.64

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Solution

The fourth proportional to 10,205.58, 15,312 and 4,362.64 is: 6,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.58 : 15,312 = 4,362.64 : x
  2. Step 2: Convert to fraction form
    10,205.58/15,312 = 4,362.64/x
  3. Step 3: Cross multiply
    10,205.58x = 15,312 × 4,362.64
  4. Step 4: Simplify right side
    10,205.58x = 66,800,743.68
  5. Step 5: Solve for x
    x = 66,800,743.68/10,205.58
  6. Step 6: Final answer
    x = 6,545.51

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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.