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Finding the Fourth Proportional to 10,254.84, 14,156.44 and 6,005.32

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Solution

The fourth proportional to 10,254.84, 14,156.44 and 6,005.32 is: 8,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.84 : 14,156.44 = 6,005.32 : x
  2. Step 2: Convert to fraction form
    10,254.84/14,156.44 = 6,005.32/x
  3. Step 3: Cross multiply
    10,254.84x = 14,156.44 × 6,005.32
  4. Step 4: Simplify right side
    10,254.84x = 85,013,952.26
  5. Step 5: Solve for x
    x = 85,013,952.26/10,254.84
  6. Step 6: Final answer
    x = 8,290.13

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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.