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Finding the Fourth Proportional to 10,435.86, 14,401.71 and 6,655.68

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Solution

The fourth proportional to 10,435.86, 14,401.71 and 6,655.68 is: 9,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.86 : 14,401.71 = 6,655.68 : x
  2. Step 2: Convert to fraction form
    10,435.86/14,401.71 = 6,655.68/x
  3. Step 3: Cross multiply
    10,435.86x = 14,401.71 × 6,655.68
  4. Step 4: Simplify right side
    10,435.86x = 95,853,173.21
  5. Step 5: Solve for x
    x = 95,853,173.21/10,435.86
  6. Step 6: Final answer
    x = 9,184.98

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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.