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Finding the Fourth Proportional to 10,263.25, 14,165.98 and 6,688.01

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Solution

The fourth proportional to 10,263.25, 14,165.98 and 6,688.01 is: 9,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.25 : 14,165.98 = 6,688.01 : x
  2. Step 2: Convert to fraction form
    10,263.25/14,165.98 = 6,688.01/x
  3. Step 3: Cross multiply
    10,263.25x = 14,165.98 × 6,688.01
  4. Step 4: Simplify right side
    10,263.25x = 94,742,234.59
  5. Step 5: Solve for x
    x = 94,742,234.59/10,263.25
  6. Step 6: Final answer
    x = 9,231.21

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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.