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Finding the Fourth Proportional to 10,491.57, 14,480.51 and 7,319.61

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Solution

The fourth proportional to 10,491.57, 14,480.51 and 7,319.61 is: 10,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.57 : 14,480.51 = 7,319.61 : x
  2. Step 2: Convert to fraction form
    10,491.57/14,480.51 = 7,319.61/x
  3. Step 3: Cross multiply
    10,491.57x = 14,480.51 × 7,319.61
  4. Step 4: Simplify right side
    10,491.57x = 105,991,649.20
  5. Step 5: Solve for x
    x = 105,991,649.20/10,491.57
  6. Step 6: Final answer
    x = 10,102.55

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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.