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Finding the Fourth Proportional to 7,492.19, 11,232 and 4,160.25

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Solution

The fourth proportional to 7,492.19, 11,232 and 4,160.25 is: 6,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.19 : 11,232 = 4,160.25 : x
  2. Step 2: Convert to fraction form
    7,492.19/11,232 = 4,160.25/x
  3. Step 3: Cross multiply
    7,492.19x = 11,232 × 4,160.25
  4. Step 4: Simplify right side
    7,492.19x = 46,727,928
  5. Step 5: Solve for x
    x = 46,727,928/7,492.19
  6. Step 6: Final answer
    x = 6,236.89

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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.