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Finding the Fourth Proportional to 10,688.86, 14,741.07 and 6,710.34

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Solution

The fourth proportional to 10,688.86, 14,741.07 and 6,710.34 is: 9,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.86 : 14,741.07 = 6,710.34 : x
  2. Step 2: Convert to fraction form
    10,688.86/14,741.07 = 6,710.34/x
  3. Step 3: Cross multiply
    10,688.86x = 14,741.07 × 6,710.34
  4. Step 4: Simplify right side
    10,688.86x = 98,917,591.66
  5. Step 5: Solve for x
    x = 98,917,591.66/10,688.86
  6. Step 6: Final answer
    x = 9,254.27

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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.