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Finding the Fourth Proportional to 10,005.06, 14,993.48 and 7,655.96

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Solution

The fourth proportional to 10,005.06, 14,993.48 and 7,655.96 is: 11,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.06 : 14,993.48 = 7,655.96 : x
  2. Step 2: Convert to fraction form
    10,005.06/14,993.48 = 7,655.96/x
  3. Step 3: Cross multiply
    10,005.06x = 14,993.48 × 7,655.96
  4. Step 4: Simplify right side
    10,005.06x = 114,789,483.14
  5. Step 5: Solve for x
    x = 114,789,483.14/10,005.06
  6. Step 6: Final answer
    x = 11,473.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.