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Finding the Fourth Proportional to 10,720.94, 14,795.34 and 6,005.26

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Solution

The fourth proportional to 10,720.94, 14,795.34 and 6,005.26 is: 8,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.94 : 14,795.34 = 6,005.26 : x
  2. Step 2: Convert to fraction form
    10,720.94/14,795.34 = 6,005.26/x
  3. Step 3: Cross multiply
    10,720.94x = 14,795.34 × 6,005.26
  4. Step 4: Simplify right side
    10,720.94x = 88,849,789.51
  5. Step 5: Solve for x
    x = 88,849,789.51/10,720.94
  6. Step 6: Final answer
    x = 8,287.50

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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.