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Finding the Fourth Proportional to 10,276.68, 14,187.92 and 6,746.08

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Solution

The fourth proportional to 10,276.68, 14,187.92 and 6,746.08 is: 9,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.68 : 14,187.92 = 6,746.08 : x
  2. Step 2: Convert to fraction form
    10,276.68/14,187.92 = 6,746.08/x
  3. Step 3: Cross multiply
    10,276.68x = 14,187.92 × 6,746.08
  4. Step 4: Simplify right side
    10,276.68x = 95,712,843.35
  5. Step 5: Solve for x
    x = 95,712,843.35/10,276.68
  6. Step 6: Final answer
    x = 9,313.60

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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.