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Finding the Fourth Proportional to 7,733.64, 11,598.72 and 2,803.32

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Solution

The fourth proportional to 7,733.64, 11,598.72 and 2,803.32 is: 4,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.64 : 11,598.72 = 2,803.32 : x
  2. Step 2: Convert to fraction form
    7,733.64/11,598.72 = 2,803.32/x
  3. Step 3: Cross multiply
    7,733.64x = 11,598.72 × 2,803.32
  4. Step 4: Simplify right side
    7,733.64x = 32,514,923.75
  5. Step 5: Solve for x
    x = 32,514,923.75/7,733.64
  6. Step 6: Final answer
    x = 4,204.35

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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.