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Finding the Fourth Proportional to 10,006.78, 15,012.63 and 7,051.00

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Solution

The fourth proportional to 10,006.78, 15,012.63 and 7,051.00 is: 10,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.78 : 15,012.63 = 7,051.00 : x
  2. Step 2: Convert to fraction form
    10,006.78/15,012.63 = 7,051.00/x
  3. Step 3: Cross multiply
    10,006.78x = 15,012.63 × 7,051.00
  4. Step 4: Simplify right side
    10,006.78x = 105,854,022.36
  5. Step 5: Solve for x
    x = 105,854,022.36/10,006.78
  6. Step 6: Final answer
    x = 10,578.23

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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.