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Finding the Fourth Proportional to 10,710.99, 16,057.58 and 7,430.49

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Solution

The fourth proportional to 10,710.99, 16,057.58 and 7,430.49 is: 11,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.99 : 16,057.58 = 7,430.49 : x
  2. Step 2: Convert to fraction form
    10,710.99/16,057.58 = 7,430.49/x
  3. Step 3: Cross multiply
    10,710.99x = 16,057.58 × 7,430.49
  4. Step 4: Simplify right side
    10,710.99x = 119,315,650.46
  5. Step 5: Solve for x
    x = 119,315,650.46/10,710.99
  6. Step 6: Final answer
    x = 11,139.55

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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.