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Finding the Fourth Proportional to 7,544.64, 11,298 and 4,762.80

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Solution

The fourth proportional to 7,544.64, 11,298 and 4,762.80 is: 7,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.64 : 11,298 = 4,762.80 : x
  2. Step 2: Convert to fraction form
    7,544.64/11,298 = 4,762.80/x
  3. Step 3: Cross multiply
    7,544.64x = 11,298 × 4,762.80
  4. Step 4: Simplify right side
    7,544.64x = 53,810,114.40
  5. Step 5: Solve for x
    x = 53,810,114.40/7,544.64
  6. Step 6: Final answer
    x = 7,132.23

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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.