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Finding the Fourth Proportional to 7,646.40, 11,599.20 and 7,646.40

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Solution

The fourth proportional to 7,646.40, 11,599.20 and 7,646.40 is: 11,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.40 : 11,599.20 = 7,646.40 : x
  2. Step 2: Convert to fraction form
    7,646.40/11,599.20 = 7,646.40/x
  3. Step 3: Cross multiply
    7,646.40x = 11,599.20 × 7,646.40
  4. Step 4: Simplify right side
    7,646.40x = 88,692,122.88
  5. Step 5: Solve for x
    x = 88,692,122.88/7,646.40
  6. Step 6: Final answer
    x = 11,599.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.