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Finding the Fourth Proportional to 10,612.91, 14,641.62 and 6,135.84

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Solution

The fourth proportional to 10,612.91, 14,641.62 and 6,135.84 is: 8,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.91 : 14,641.62 = 6,135.84 : x
  2. Step 2: Convert to fraction form
    10,612.91/14,641.62 = 6,135.84/x
  3. Step 3: Cross multiply
    10,612.91x = 14,641.62 × 6,135.84
  4. Step 4: Simplify right side
    10,612.91x = 89,838,637.66
  5. Step 5: Solve for x
    x = 89,838,637.66/10,612.91
  6. Step 6: Final answer
    x = 8,465.03

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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.