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Finding the Fourth Proportional to 10,507.69, 15,763.88 and 4,585.54

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Solution

The fourth proportional to 10,507.69, 15,763.88 and 4,585.54 is: 6,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.69 : 15,763.88 = 4,585.54 : x
  2. Step 2: Convert to fraction form
    10,507.69/15,763.88 = 4,585.54/x
  3. Step 3: Cross multiply
    10,507.69x = 15,763.88 × 4,585.54
  4. Step 4: Simplify right side
    10,507.69x = 72,285,800.55
  5. Step 5: Solve for x
    x = 72,285,800.55/10,507.69
  6. Step 6: Final answer
    x = 6,879.32

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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.