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Finding the Fourth Proportional to 10,674.29, 14,730.71 and 5,894.35

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Solution

The fourth proportional to 10,674.29, 14,730.71 and 5,894.35 is: 8,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.29 : 14,730.71 = 5,894.35 : x
  2. Step 2: Convert to fraction form
    10,674.29/14,730.71 = 5,894.35/x
  3. Step 3: Cross multiply
    10,674.29x = 14,730.71 × 5,894.35
  4. Step 4: Simplify right side
    10,674.29x = 86,827,894.19
  5. Step 5: Solve for x
    x = 86,827,894.19/10,674.29
  6. Step 6: Final answer
    x = 8,134.30

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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.