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Finding the Fourth Proportional to 7,525.44, 10,386 and 4,382.72

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Solution

The fourth proportional to 7,525.44, 10,386 and 4,382.72 is: 6,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.44 : 10,386 = 4,382.72 : x
  2. Step 2: Convert to fraction form
    7,525.44/10,386 = 4,382.72/x
  3. Step 3: Cross multiply
    7,525.44x = 10,386 × 4,382.72
  4. Step 4: Simplify right side
    7,525.44x = 45,518,929.92
  5. Step 5: Solve for x
    x = 45,518,929.92/7,525.44
  6. Step 6: Final answer
    x = 6,048.67

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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.