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Finding the Fourth Proportional to 10,398.10, 14,345.30 and 6,412.30

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Solution

The fourth proportional to 10,398.10, 14,345.30 and 6,412.30 is: 8,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.10 : 14,345.30 = 6,412.30 : x
  2. Step 2: Convert to fraction form
    10,398.10/14,345.30 = 6,412.30/x
  3. Step 3: Cross multiply
    10,398.10x = 14,345.30 × 6,412.30
  4. Step 4: Simplify right side
    10,398.10x = 91,986,263.40
  5. Step 5: Solve for x
    x = 91,986,263.40/10,398.10
  6. Step 6: Final answer
    x = 8,846.45

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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.