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Finding the Fourth Proportional to 7,652.48, 10,561.20 and 4,509.68

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Solution

The fourth proportional to 7,652.48, 10,561.20 and 4,509.68 is: 6,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.48 : 10,561.20 = 4,509.68 : x
  2. Step 2: Convert to fraction form
    7,652.48/10,561.20 = 4,509.68/x
  3. Step 3: Cross multiply
    7,652.48x = 10,561.20 × 4,509.68
  4. Step 4: Simplify right side
    7,652.48x = 47,627,632.42
  5. Step 5: Solve for x
    x = 47,627,632.42/7,652.48
  6. Step 6: Final answer
    x = 6,223.82

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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.