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Finding the Fourth Proportional to 10,006.30, 15,009.45 and 6,118.30

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Solution

The fourth proportional to 10,006.30, 15,009.45 and 6,118.30 is: 9,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.30 : 15,009.45 = 6,118.30 : x
  2. Step 2: Convert to fraction form
    10,006.30/15,009.45 = 6,118.30/x
  3. Step 3: Cross multiply
    10,006.30x = 15,009.45 × 6,118.30
  4. Step 4: Simplify right side
    10,006.30x = 91,832,317.94
  5. Step 5: Solve for x
    x = 91,832,317.94/10,006.30
  6. Step 6: Final answer
    x = 9,177.45

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