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Finding the Fourth Proportional to 11,234.16, 15,505.64 and 7,506

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Solution

The fourth proportional to 11,234.16, 15,505.64 and 7,506 is: 10,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.16 : 15,505.64 = 7,506 : x
  2. Step 2: Convert to fraction form
    11,234.16/15,505.64 = 7,506/x
  3. Step 3: Cross multiply
    11,234.16x = 15,505.64 × 7,506
  4. Step 4: Simplify right side
    11,234.16x = 116,385,333.84
  5. Step 5: Solve for x
    x = 116,385,333.84/11,234.16
  6. Step 6: Final answer
    x = 10,359.95

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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.