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Finding the Fourth Proportional to 11,343.76, 15,653.21 and 6,307.18

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Solution

The fourth proportional to 11,343.76, 15,653.21 and 6,307.18 is: 8,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.76 : 15,653.21 = 6,307.18 : x
  2. Step 2: Convert to fraction form
    11,343.76/15,653.21 = 6,307.18/x
  3. Step 3: Cross multiply
    11,343.76x = 15,653.21 × 6,307.18
  4. Step 4: Simplify right side
    11,343.76x = 98,727,542.38
  5. Step 5: Solve for x
    x = 98,727,542.38/11,343.76
  6. Step 6: Final answer
    x = 8,703.25

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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.