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Finding the Fourth Proportional to 10,371, 14,312.34 and 5,894.94

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Solution

The fourth proportional to 10,371, 14,312.34 and 5,894.94 is: 8,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371 : 14,312.34 = 5,894.94 : x
  2. Step 2: Convert to fraction form
    10,371/14,312.34 = 5,894.94/x
  3. Step 3: Cross multiply
    10,371x = 14,312.34 × 5,894.94
  4. Step 4: Simplify right side
    10,371x = 84,370,385.56
  5. Step 5: Solve for x
    x = 84,370,385.56/10,371
  6. Step 6: Final answer
    x = 8,135.22

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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.