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Finding the Fourth Proportional to 7,612.64, 11,416.52 and 2,417.30

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Solution

The fourth proportional to 7,612.64, 11,416.52 and 2,417.30 is: 3,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.64 : 11,416.52 = 2,417.30 : x
  2. Step 2: Convert to fraction form
    7,612.64/11,416.52 = 2,417.30/x
  3. Step 3: Cross multiply
    7,612.64x = 11,416.52 × 2,417.30
  4. Step 4: Simplify right side
    7,612.64x = 27,597,102.76
  5. Step 5: Solve for x
    x = 27,597,102.76/7,612.64
  6. Step 6: Final answer
    x = 3,625.17

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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.