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Finding the Fourth Proportional to 11,505.24, 15,881.88 and 7,730.62

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Solution

The fourth proportional to 11,505.24, 15,881.88 and 7,730.62 is: 10,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.24 : 15,881.88 = 7,730.62 : x
  2. Step 2: Convert to fraction form
    11,505.24/15,881.88 = 7,730.62/x
  3. Step 3: Cross multiply
    11,505.24x = 15,881.88 × 7,730.62
  4. Step 4: Simplify right side
    11,505.24x = 122,776,779.17
  5. Step 5: Solve for x
    x = 122,776,779.17/11,505.24
  6. Step 6: Final answer
    x = 10,671.38

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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.