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Finding the Fourth Proportional to 10,257.60, 14,155.62 and 6,065.84

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Solution

The fourth proportional to 10,257.60, 14,155.62 and 6,065.84 is: 8,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.60 : 14,155.62 = 6,065.84 : x
  2. Step 2: Convert to fraction form
    10,257.60/14,155.62 = 6,065.84/x
  3. Step 3: Cross multiply
    10,257.60x = 14,155.62 × 6,065.84
  4. Step 4: Simplify right side
    10,257.60x = 85,865,726.02
  5. Step 5: Solve for x
    x = 85,865,726.02/10,257.60
  6. Step 6: Final answer
    x = 8,370.94

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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.