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Finding the Fourth Proportional to 10,498.04, 14,491.86 and 7,980.60

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Solution

The fourth proportional to 10,498.04, 14,491.86 and 7,980.60 is: 11,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.04 : 14,491.86 = 7,980.60 : x
  2. Step 2: Convert to fraction form
    10,498.04/14,491.86 = 7,980.60/x
  3. Step 3: Cross multiply
    10,498.04x = 14,491.86 × 7,980.60
  4. Step 4: Simplify right side
    10,498.04x = 115,653,737.92
  5. Step 5: Solve for x
    x = 115,653,737.92/10,498.04
  6. Step 6: Final answer
    x = 11,016.70

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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.