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Finding the Fourth Proportional to 11,188.54, 15,441.45 and 7,159.12

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Solution

The fourth proportional to 11,188.54, 15,441.45 and 7,159.12 is: 9,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.54 : 15,441.45 = 7,159.12 : x
  2. Step 2: Convert to fraction form
    11,188.54/15,441.45 = 7,159.12/x
  3. Step 3: Cross multiply
    11,188.54x = 15,441.45 × 7,159.12
  4. Step 4: Simplify right side
    11,188.54x = 110,547,193.52
  5. Step 5: Solve for x
    x = 110,547,193.52/11,188.54
  6. Step 6: Final answer
    x = 9,880.39

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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.