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Finding the Fourth Proportional to 7,602.24, 10,492.68 and 4,807.20

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Solution

The fourth proportional to 7,602.24, 10,492.68 and 4,807.20 is: 6,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.24 : 10,492.68 = 4,807.20 : x
  2. Step 2: Convert to fraction form
    7,602.24/10,492.68 = 4,807.20/x
  3. Step 3: Cross multiply
    7,602.24x = 10,492.68 × 4,807.20
  4. Step 4: Simplify right side
    7,602.24x = 50,440,411.30
  5. Step 5: Solve for x
    x = 50,440,411.30/7,602.24
  6. Step 6: Final answer
    x = 6,634.94

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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.