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Finding the Fourth Proportional to 10,862.34, 16,267.98 and 5,298.24

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Solution

The fourth proportional to 10,862.34, 16,267.98 and 5,298.24 is: 7,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.34 : 16,267.98 = 5,298.24 : x
  2. Step 2: Convert to fraction form
    10,862.34/16,267.98 = 5,298.24/x
  3. Step 3: Cross multiply
    10,862.34x = 16,267.98 × 5,298.24
  4. Step 4: Simplify right side
    10,862.34x = 86,191,662.36
  5. Step 5: Solve for x
    x = 86,191,662.36/10,862.34
  6. Step 6: Final answer
    x = 7,934.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.