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Finding the Fourth Proportional to 10,398.60, 14,345.98 and 6,412.80

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Solution

The fourth proportional to 10,398.60, 14,345.98 and 6,412.80 is: 8,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.60 : 14,345.98 = 6,412.80 : x
  2. Step 2: Convert to fraction form
    10,398.60/14,345.98 = 6,412.80/x
  3. Step 3: Cross multiply
    10,398.60x = 14,345.98 × 6,412.80
  4. Step 4: Simplify right side
    10,398.60x = 91,997,900.54
  5. Step 5: Solve for x
    x = 91,997,900.54/10,398.60
  6. Step 6: Final answer
    x = 8,847.14

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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.