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Finding the Fourth Proportional to 8,849.98, 12,210.50 and 5,492.93

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Solution

The fourth proportional to 8,849.98, 12,210.50 and 5,492.93 is: 7,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.98 : 12,210.50 = 5,492.93 : x
  2. Step 2: Convert to fraction form
    8,849.98/12,210.50 = 5,492.93/x
  3. Step 3: Cross multiply
    8,849.98x = 12,210.50 × 5,492.93
  4. Step 4: Simplify right side
    8,849.98x = 67,071,394.30
  5. Step 5: Solve for x
    x = 67,071,394.30/8,849.98
  6. Step 6: Final answer
    x = 7,578.71

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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.