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Finding the Fourth Proportional to 12,512, 17,266.88 and 7,544.32

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Solution

The fourth proportional to 12,512, 17,266.88 and 7,544.32 is: 10,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512 : 17,266.88 = 7,544.32 : x
  2. Step 2: Convert to fraction form
    12,512/17,266.88 = 7,544.32/x
  3. Step 3: Cross multiply
    12,512x = 17,266.88 × 7,544.32
  4. Step 4: Simplify right side
    12,512x = 130,266,868.12
  5. Step 5: Solve for x
    x = 130,266,868.12/12,512
  6. Step 6: Final answer
    x = 10,411.35

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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.