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Finding the Fourth Proportional to 10,587.68, 14,608.32 and 6,394.08

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Solution

The fourth proportional to 10,587.68, 14,608.32 and 6,394.08 is: 8,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.68 : 14,608.32 = 6,394.08 : x
  2. Step 2: Convert to fraction form
    10,587.68/14,608.32 = 6,394.08/x
  3. Step 3: Cross multiply
    10,587.68x = 14,608.32 × 6,394.08
  4. Step 4: Simplify right side
    10,587.68x = 93,406,766.75
  5. Step 5: Solve for x
    x = 93,406,766.75/10,587.68
  6. Step 6: Final answer
    x = 8,822.21

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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.