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Finding the Fourth Proportional to 7,471.17, 10,307.52 and 4,954.50

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Solution

The fourth proportional to 7,471.17, 10,307.52 and 4,954.50 is: 6,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.17 : 10,307.52 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    7,471.17/10,307.52 = 4,954.50/x
  3. Step 3: Cross multiply
    7,471.17x = 10,307.52 × 4,954.50
  4. Step 4: Simplify right side
    7,471.17x = 51,068,607.84
  5. Step 5: Solve for x
    x = 51,068,607.84/7,471.17
  6. Step 6: Final answer
    x = 6,835.42

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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.