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Finding the Fourth Proportional to 10,308.64, 14,233.32 and 6,335.08

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Solution

The fourth proportional to 10,308.64, 14,233.32 and 6,335.08 is: 8,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.64 : 14,233.32 = 6,335.08 : x
  2. Step 2: Convert to fraction form
    10,308.64/14,233.32 = 6,335.08/x
  3. Step 3: Cross multiply
    10,308.64x = 14,233.32 × 6,335.08
  4. Step 4: Simplify right side
    10,308.64x = 90,169,220.87
  5. Step 5: Solve for x
    x = 90,169,220.87/10,308.64
  6. Step 6: Final answer
    x = 8,746.96

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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.