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Finding the Fourth Proportional to 11,054.66, 15,250.50 and 7,468.46

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Solution

The fourth proportional to 11,054.66, 15,250.50 and 7,468.46 is: 10,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.66 : 15,250.50 = 7,468.46 : x
  2. Step 2: Convert to fraction form
    11,054.66/15,250.50 = 7,468.46/x
  3. Step 3: Cross multiply
    11,054.66x = 15,250.50 × 7,468.46
  4. Step 4: Simplify right side
    11,054.66x = 113,897,711.89
  5. Step 5: Solve for x
    x = 113,897,711.89/11,054.66
  6. Step 6: Final answer
    x = 10,303.14

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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.