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Finding the Fourth Proportional to 7,602.71, 11,393.69 and 4,824.40

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Solution

The fourth proportional to 7,602.71, 11,393.69 and 4,824.40 is: 7,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.71 : 11,393.69 = 4,824.40 : x
  2. Step 2: Convert to fraction form
    7,602.71/11,393.69 = 4,824.40/x
  3. Step 3: Cross multiply
    7,602.71x = 11,393.69 × 4,824.40
  4. Step 4: Simplify right side
    7,602.71x = 54,967,752.76
  5. Step 5: Solve for x
    x = 54,967,752.76/7,602.71
  6. Step 6: Final answer
    x = 7,230.02

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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.