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Finding the Fourth Proportional to 8,918, 12,307.68 and 5,141.24

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Solution

The fourth proportional to 8,918, 12,307.68 and 5,141.24 is: 7,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,918 : 12,307.68 = 5,141.24 : x
  2. Step 2: Convert to fraction form
    8,918/12,307.68 = 5,141.24/x
  3. Step 3: Cross multiply
    8,918x = 12,307.68 × 5,141.24
  4. Step 4: Simplify right side
    8,918x = 63,276,736.72
  5. Step 5: Solve for x
    x = 63,276,736.72/8,918
  6. Step 6: Final answer
    x = 7,095.40

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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.