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Finding the Fourth Proportional to 7,492.56, 11,239.16 and 2,298.64

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Solution

The fourth proportional to 7,492.56, 11,239.16 and 2,298.64 is: 3,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.56 : 11,239.16 = 2,298.64 : x
  2. Step 2: Convert to fraction form
    7,492.56/11,239.16 = 2,298.64/x
  3. Step 3: Cross multiply
    7,492.56x = 11,239.16 × 2,298.64
  4. Step 4: Simplify right side
    7,492.56x = 25,834,782.74
  5. Step 5: Solve for x
    x = 25,834,782.74/7,492.56
  6. Step 6: Final answer
    x = 3,448.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.