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Finding the Fourth Proportional to 10,800.49, 14,907.46 and 7,033.06

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Solution

The fourth proportional to 10,800.49, 14,907.46 and 7,033.06 is: 9,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.49 : 14,907.46 = 7,033.06 : x
  2. Step 2: Convert to fraction form
    10,800.49/14,907.46 = 7,033.06/x
  3. Step 3: Cross multiply
    10,800.49x = 14,907.46 × 7,033.06
  4. Step 4: Simplify right side
    10,800.49x = 104,845,060.63
  5. Step 5: Solve for x
    x = 104,845,060.63/10,800.49
  6. Step 6: Final answer
    x = 9,707.44

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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.