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Finding the Fourth Proportional to 10,657.88, 14,707.34 and 5,878.66

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Solution

The fourth proportional to 10,657.88, 14,707.34 and 5,878.66 is: 8,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.88 : 14,707.34 = 5,878.66 : x
  2. Step 2: Convert to fraction form
    10,657.88/14,707.34 = 5,878.66/x
  3. Step 3: Cross multiply
    10,657.88x = 14,707.34 × 5,878.66
  4. Step 4: Simplify right side
    10,657.88x = 86,459,407.25
  5. Step 5: Solve for x
    x = 86,459,407.25/10,657.88
  6. Step 6: Final answer
    x = 8,112.25

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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.