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Finding the Fourth Proportional to 10,390.80, 14,354.98 and 6,814.28

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Solution

The fourth proportional to 10,390.80, 14,354.98 and 6,814.28 is: 9,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.80 : 14,354.98 = 6,814.28 : x
  2. Step 2: Convert to fraction form
    10,390.80/14,354.98 = 6,814.28/x
  3. Step 3: Cross multiply
    10,390.80x = 14,354.98 × 6,814.28
  4. Step 4: Simplify right side
    10,390.80x = 97,818,853.11
  5. Step 5: Solve for x
    x = 97,818,853.11/10,390.80
  6. Step 6: Final answer
    x = 9,413.99

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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.