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Finding the Fourth Proportional to 10,297.50, 14,210.63 and 6,109.34

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Solution

The fourth proportional to 10,297.50, 14,210.63 and 6,109.34 is: 8,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.50 : 14,210.63 = 6,109.34 : x
  2. Step 2: Convert to fraction form
    10,297.50/14,210.63 = 6,109.34/x
  3. Step 3: Cross multiply
    10,297.50x = 14,210.63 × 6,109.34
  4. Step 4: Simplify right side
    10,297.50x = 86,817,570.28
  5. Step 5: Solve for x
    x = 86,817,570.28/10,297.50
  6. Step 6: Final answer
    x = 8,430.94

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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.