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Finding the Fourth Proportional to 7,592.16, 10,460.88 and 5,492.64

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Solution

The fourth proportional to 7,592.16, 10,460.88 and 5,492.64 is: 7,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.16 : 10,460.88 = 5,492.64 : x
  2. Step 2: Convert to fraction form
    7,592.16/10,460.88 = 5,492.64/x
  3. Step 3: Cross multiply
    7,592.16x = 10,460.88 × 5,492.64
  4. Step 4: Simplify right side
    7,592.16x = 57,457,847.92
  5. Step 5: Solve for x
    x = 57,457,847.92/7,592.16
  6. Step 6: Final answer
    x = 7,568.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.