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Finding the Fourth Proportional to 12,264.64, 18,373.76 and 7,252.08

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Solution

The fourth proportional to 12,264.64, 18,373.76 and 7,252.08 is: 10,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.64 : 18,373.76 = 7,252.08 : x
  2. Step 2: Convert to fraction form
    12,264.64/18,373.76 = 7,252.08/x
  3. Step 3: Cross multiply
    12,264.64x = 18,373.76 × 7,252.08
  4. Step 4: Simplify right side
    12,264.64x = 133,247,977.42
  5. Step 5: Solve for x
    x = 133,247,977.42/12,264.64
  6. Step 6: Final answer
    x = 10,864.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.