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Finding the Fourth Proportional to 7,152.48, 9,869.76 and 4,008

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Solution

The fourth proportional to 7,152.48, 9,869.76 and 4,008 is: 5,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.48 : 9,869.76 = 4,008 : x
  2. Step 2: Convert to fraction form
    7,152.48/9,869.76 = 4,008/x
  3. Step 3: Cross multiply
    7,152.48x = 9,869.76 × 4,008
  4. Step 4: Simplify right side
    7,152.48x = 39,557,998.08
  5. Step 5: Solve for x
    x = 39,557,998.08/7,152.48
  6. Step 6: Final answer
    x = 5,530.67

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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.