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Finding the Fourth Proportional to 10,256.88, 14,156.52 and 6,008.40

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Solution

The fourth proportional to 10,256.88, 14,156.52 and 6,008.40 is: 8,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.88 : 14,156.52 = 6,008.40 : x
  2. Step 2: Convert to fraction form
    10,256.88/14,156.52 = 6,008.40/x
  3. Step 3: Cross multiply
    10,256.88x = 14,156.52 × 6,008.40
  4. Step 4: Simplify right side
    10,256.88x = 85,058,034.77
  5. Step 5: Solve for x
    x = 85,058,034.77/10,256.88
  6. Step 6: Final answer
    x = 8,292.78

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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.