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Finding the Fourth Proportional to 7,446.16, 10,272.08 and 4,461.40

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Solution

The fourth proportional to 7,446.16, 10,272.08 and 4,461.40 is: 6,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.16 : 10,272.08 = 4,461.40 : x
  2. Step 2: Convert to fraction form
    7,446.16/10,272.08 = 4,461.40/x
  3. Step 3: Cross multiply
    7,446.16x = 10,272.08 × 4,461.40
  4. Step 4: Simplify right side
    7,446.16x = 45,827,857.71
  5. Step 5: Solve for x
    x = 45,827,857.71/7,446.16
  6. Step 6: Final answer
    x = 6,154.56

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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.