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Finding the Fourth Proportional to 10,498.24, 14,474.12 and 8,602.84

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Solution

The fourth proportional to 10,498.24, 14,474.12 and 8,602.84 is: 11,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.24 : 14,474.12 = 8,602.84 : x
  2. Step 2: Convert to fraction form
    10,498.24/14,474.12 = 8,602.84/x
  3. Step 3: Cross multiply
    10,498.24x = 14,474.12 × 8,602.84
  4. Step 4: Simplify right side
    10,498.24x = 124,518,538.50
  5. Step 5: Solve for x
    x = 124,518,538.50/10,498.24
  6. Step 6: Final answer
    x = 11,860.90

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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.