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Finding the Fourth Proportional to 10,499.85, 14,489.45 and 5,784.12

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Solution

The fourth proportional to 10,499.85, 14,489.45 and 5,784.12 is: 7,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.85 : 14,489.45 = 5,784.12 : x
  2. Step 2: Convert to fraction form
    10,499.85/14,489.45 = 5,784.12/x
  3. Step 3: Cross multiply
    10,499.85x = 14,489.45 × 5,784.12
  4. Step 4: Simplify right side
    10,499.85x = 83,808,688.61
  5. Step 5: Solve for x
    x = 83,808,688.61/10,499.85
  6. Step 6: Final answer
    x = 7,981.89

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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.