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Finding the Fourth Proportional to 7,730.23, 10,656.09 and 6,048.72

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Solution

The fourth proportional to 7,730.23, 10,656.09 and 6,048.72 is: 8,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.23 : 10,656.09 = 6,048.72 : x
  2. Step 2: Convert to fraction form
    7,730.23/10,656.09 = 6,048.72/x
  3. Step 3: Cross multiply
    7,730.23x = 10,656.09 × 6,048.72
  4. Step 4: Simplify right side
    7,730.23x = 64,455,704.70
  5. Step 5: Solve for x
    x = 64,455,704.70/7,730.23
  6. Step 6: Final answer
    x = 8,338.14

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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.