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Finding the Fourth Proportional to 10,866.06, 14,995.10 and 5,898.06

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Solution

The fourth proportional to 10,866.06, 14,995.10 and 5,898.06 is: 8,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.06 : 14,995.10 = 5,898.06 : x
  2. Step 2: Convert to fraction form
    10,866.06/14,995.10 = 5,898.06/x
  3. Step 3: Cross multiply
    10,866.06x = 14,995.10 × 5,898.06
  4. Step 4: Simplify right side
    10,866.06x = 88,441,999.51
  5. Step 5: Solve for x
    x = 88,441,999.51/10,866.06
  6. Step 6: Final answer
    x = 8,139.29

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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.