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Finding the Fourth Proportional to 7,521.60, 11,264.16 and 3,814.08

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Solution

The fourth proportional to 7,521.60, 11,264.16 and 3,814.08 is: 5,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.60 : 11,264.16 = 3,814.08 : x
  2. Step 2: Convert to fraction form
    7,521.60/11,264.16 = 3,814.08/x
  3. Step 3: Cross multiply
    7,521.60x = 11,264.16 × 3,814.08
  4. Step 4: Simplify right side
    7,521.60x = 42,962,407.37
  5. Step 5: Solve for x
    x = 42,962,407.37/7,521.60
  6. Step 6: Final answer
    x = 5,711.87

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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.