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Finding the Fourth Proportional to 7,665.28, 11,492.16 and 5,088.64

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Solution

The fourth proportional to 7,665.28, 11,492.16 and 5,088.64 is: 7,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.28 : 11,492.16 = 5,088.64 : x
  2. Step 2: Convert to fraction form
    7,665.28/11,492.16 = 5,088.64/x
  3. Step 3: Cross multiply
    7,665.28x = 11,492.16 × 5,088.64
  4. Step 4: Simplify right side
    7,665.28x = 58,479,465.06
  5. Step 5: Solve for x
    x = 58,479,465.06/7,665.28
  6. Step 6: Final answer
    x = 7,629.14

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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.