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Finding the Fourth Proportional to 7,509.60, 11,266.80 and 2,582.40

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Solution

The fourth proportional to 7,509.60, 11,266.80 and 2,582.40 is: 3,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.60 : 11,266.80 = 2,582.40 : x
  2. Step 2: Convert to fraction form
    7,509.60/11,266.80 = 2,582.40/x
  3. Step 3: Cross multiply
    7,509.60x = 11,266.80 × 2,582.40
  4. Step 4: Simplify right side
    7,509.60x = 29,095,384.32
  5. Step 5: Solve for x
    x = 29,095,384.32/7,509.60
  6. Step 6: Final answer
    x = 3,874.43

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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.