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Finding the Fourth Proportional to 10,862.40, 14,992.20 and 6,146.88

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Solution

The fourth proportional to 10,862.40, 14,992.20 and 6,146.88 is: 8,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.40 : 14,992.20 = 6,146.88 : x
  2. Step 2: Convert to fraction form
    10,862.40/14,992.20 = 6,146.88/x
  3. Step 3: Cross multiply
    10,862.40x = 14,992.20 × 6,146.88
  4. Step 4: Simplify right side
    10,862.40x = 92,155,254.34
  5. Step 5: Solve for x
    x = 92,155,254.34/10,862.40
  6. Step 6: Final answer
    x = 8,483.88

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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.