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Finding the Fourth Proportional to 8,304.56, 11,460.86 and 5,075.77

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Solution

The fourth proportional to 8,304.56, 11,460.86 and 5,075.77 is: 7,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.56 : 11,460.86 = 5,075.77 : x
  2. Step 2: Convert to fraction form
    8,304.56/11,460.86 = 5,075.77/x
  3. Step 3: Cross multiply
    8,304.56x = 11,460.86 × 5,075.77
  4. Step 4: Simplify right side
    8,304.56x = 58,172,689.36
  5. Step 5: Solve for x
    x = 58,172,689.36/8,304.56
  6. Step 6: Final answer
    x = 7,004.91

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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.