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Finding the Fourth Proportional to 7,700.82, 10,627.28 and 4,342.98

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Solution

The fourth proportional to 7,700.82, 10,627.28 and 4,342.98 is: 5,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.82 : 10,627.28 = 4,342.98 : x
  2. Step 2: Convert to fraction form
    7,700.82/10,627.28 = 4,342.98/x
  3. Step 3: Cross multiply
    7,700.82x = 10,627.28 × 4,342.98
  4. Step 4: Simplify right side
    7,700.82x = 46,154,075.35
  5. Step 5: Solve for x
    x = 46,154,075.35/7,700.82
  6. Step 6: Final answer
    x = 5,993.40

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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.