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Finding the Fourth Proportional to 10,540.21, 14,545 and 6,508.84

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Solution

The fourth proportional to 10,540.21, 14,545 and 6,508.84 is: 8,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.21 : 14,545 = 6,508.84 : x
  2. Step 2: Convert to fraction form
    10,540.21/14,545 = 6,508.84/x
  3. Step 3: Cross multiply
    10,540.21x = 14,545 × 6,508.84
  4. Step 4: Simplify right side
    10,540.21x = 94,671,077.80
  5. Step 5: Solve for x
    x = 94,671,077.80/10,540.21
  6. Step 6: Final answer
    x = 8,981.90

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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.