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Finding the Fourth Proportional to 10,657.94, 14,708.12 and 5,877.86

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Solution

The fourth proportional to 10,657.94, 14,708.12 and 5,877.86 is: 8,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.94 : 14,708.12 = 5,877.86 : x
  2. Step 2: Convert to fraction form
    10,657.94/14,708.12 = 5,877.86/x
  3. Step 3: Cross multiply
    10,657.94x = 14,708.12 × 5,877.86
  4. Step 4: Simplify right side
    10,657.94x = 86,452,167.29
  5. Step 5: Solve for x
    x = 86,452,167.29/10,657.94
  6. Step 6: Final answer
    x = 8,111.53

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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.