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Finding the Fourth Proportional to 10,807.50, 14,920.47 and 7,033.98

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Solution

The fourth proportional to 10,807.50, 14,920.47 and 7,033.98 is: 9,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.50 : 14,920.47 = 7,033.98 : x
  2. Step 2: Convert to fraction form
    10,807.50/14,920.47 = 7,033.98/x
  3. Step 3: Cross multiply
    10,807.50x = 14,920.47 × 7,033.98
  4. Step 4: Simplify right side
    10,807.50x = 104,950,287.57
  5. Step 5: Solve for x
    x = 104,950,287.57/10,807.50
  6. Step 6: Final answer
    x = 9,710.88

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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.