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Finding the Fourth Proportional to 10,595.61, 14,622.54 and 6,405.21

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Solution

The fourth proportional to 10,595.61, 14,622.54 and 6,405.21 is: 8,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.61 : 14,622.54 = 6,405.21 : x
  2. Step 2: Convert to fraction form
    10,595.61/14,622.54 = 6,405.21/x
  3. Step 3: Cross multiply
    10,595.61x = 14,622.54 × 6,405.21
  4. Step 4: Simplify right side
    10,595.61x = 93,660,439.43
  5. Step 5: Solve for x
    x = 93,660,439.43/10,595.61
  6. Step 6: Final answer
    x = 8,839.55

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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.