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Finding the Fourth Proportional to 7,817.65, 10,785.72 and 4,459.93

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Solution

The fourth proportional to 7,817.65, 10,785.72 and 4,459.93 is: 6,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.65 : 10,785.72 = 4,459.93 : x
  2. Step 2: Convert to fraction form
    7,817.65/10,785.72 = 4,459.93/x
  3. Step 3: Cross multiply
    7,817.65x = 10,785.72 × 4,459.93
  4. Step 4: Simplify right side
    7,817.65x = 48,103,556.20
  5. Step 5: Solve for x
    x = 48,103,556.20/7,817.65
  6. Step 6: Final answer
    x = 6,153.20

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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.