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Finding the Fourth Proportional to 11,344.30, 15,655.04 and 6,308.98

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Solution

The fourth proportional to 11,344.30, 15,655.04 and 6,308.98 is: 8,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.30 : 15,655.04 = 6,308.98 : x
  2. Step 2: Convert to fraction form
    11,344.30/15,655.04 = 6,308.98/x
  3. Step 3: Cross multiply
    11,344.30x = 15,655.04 × 6,308.98
  4. Step 4: Simplify right side
    11,344.30x = 98,767,334.26
  5. Step 5: Solve for x
    x = 98,767,334.26/11,344.30
  6. Step 6: Final answer
    x = 8,706.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.