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Finding the Fourth Proportional to 10,385.04, 14,347.04 and 6,808.53

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Solution

The fourth proportional to 10,385.04, 14,347.04 and 6,808.53 is: 9,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.04 : 14,347.04 = 6,808.53 : x
  2. Step 2: Convert to fraction form
    10,385.04/14,347.04 = 6,808.53/x
  3. Step 3: Cross multiply
    10,385.04x = 14,347.04 × 6,808.53
  4. Step 4: Simplify right side
    10,385.04x = 97,682,218.21
  5. Step 5: Solve for x
    x = 97,682,218.21/10,385.04
  6. Step 6: Final answer
    x = 9,406.05

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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.