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Finding the Fourth Proportional to 11,528.96, 15,907.88 and 7,488.12

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Solution

The fourth proportional to 11,528.96, 15,907.88 and 7,488.12 is: 10,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,528.96 : 15,907.88 = 7,488.12 : x
  2. Step 2: Convert to fraction form
    11,528.96/15,907.88 = 7,488.12/x
  3. Step 3: Cross multiply
    11,528.96x = 15,907.88 × 7,488.12
  4. Step 4: Simplify right side
    11,528.96x = 119,120,114.39
  5. Step 5: Solve for x
    x = 119,120,114.39/11,528.96
  6. Step 6: Final answer
    x = 10,332.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.