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Finding the Fourth Proportional to 7,752.17, 11,679.95 and 7,012.64

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Solution

The fourth proportional to 7,752.17, 11,679.95 and 7,012.64 is: 10,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.17 : 11,679.95 = 7,012.64 : x
  2. Step 2: Convert to fraction form
    7,752.17/11,679.95 = 7,012.64/x
  3. Step 3: Cross multiply
    7,752.17x = 11,679.95 × 7,012.64
  4. Step 4: Simplify right side
    7,752.17x = 81,907,191.11
  5. Step 5: Solve for x
    x = 81,907,191.11/7,752.17
  6. Step 6: Final answer
    x = 10,565.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.