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Finding the Fourth Proportional to 10,263.79, 14,159.01 and 6,485.14

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Solution

The fourth proportional to 10,263.79, 14,159.01 and 6,485.14 is: 8,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.79 : 14,159.01 = 6,485.14 : x
  2. Step 2: Convert to fraction form
    10,263.79/14,159.01 = 6,485.14/x
  3. Step 3: Cross multiply
    10,263.79x = 14,159.01 × 6,485.14
  4. Step 4: Simplify right side
    10,263.79x = 91,823,162.11
  5. Step 5: Solve for x
    x = 91,823,162.11/10,263.79
  6. Step 6: Final answer
    x = 8,946.32

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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.