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Finding the Fourth Proportional to 10,657.56, 14,707.50 and 6,408.72

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Solution

The fourth proportional to 10,657.56, 14,707.50 and 6,408.72 is: 8,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.56 : 14,707.50 = 6,408.72 : x
  2. Step 2: Convert to fraction form
    10,657.56/14,707.50 = 6,408.72/x
  3. Step 3: Cross multiply
    10,657.56x = 14,707.50 × 6,408.72
  4. Step 4: Simplify right side
    10,657.56x = 94,256,249.40
  5. Step 5: Solve for x
    x = 94,256,249.40/10,657.56
  6. Step 6: Final answer
    x = 8,844.07

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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.