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Finding the Fourth Proportional to 11,242.32, 15,515.32 and 6,207

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Solution

The fourth proportional to 11,242.32, 15,515.32 and 6,207 is: 8,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.32 : 15,515.32 = 6,207 : x
  2. Step 2: Convert to fraction form
    11,242.32/15,515.32 = 6,207/x
  3. Step 3: Cross multiply
    11,242.32x = 15,515.32 × 6,207
  4. Step 4: Simplify right side
    11,242.32x = 96,303,591.24
  5. Step 5: Solve for x
    x = 96,303,591.24/11,242.32
  6. Step 6: Final answer
    x = 8,566.17

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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.