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Finding the Fourth Proportional to 10,046.34, 13,864.23 and 6,068.16

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Solution

The fourth proportional to 10,046.34, 13,864.23 and 6,068.16 is: 8,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.34 : 13,864.23 = 6,068.16 : x
  2. Step 2: Convert to fraction form
    10,046.34/13,864.23 = 6,068.16/x
  3. Step 3: Cross multiply
    10,046.34x = 13,864.23 × 6,068.16
  4. Step 4: Simplify right side
    10,046.34x = 84,130,365.92
  5. Step 5: Solve for x
    x = 84,130,365.92/10,046.34
  6. Step 6: Final answer
    x = 8,374.23

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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.