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Finding the Fourth Proportional to 7,446.40, 10,264.80 and 4,647.04

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Solution

The fourth proportional to 7,446.40, 10,264.80 and 4,647.04 is: 6,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.40 : 10,264.80 = 4,647.04 : x
  2. Step 2: Convert to fraction form
    7,446.40/10,264.80 = 4,647.04/x
  3. Step 3: Cross multiply
    7,446.40x = 10,264.80 × 4,647.04
  4. Step 4: Simplify right side
    7,446.40x = 47,700,936.19
  5. Step 5: Solve for x
    x = 47,700,936.19/7,446.40
  6. Step 6: Final answer
    x = 6,405.91

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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.