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Finding the Fourth Proportional to 7,816.65, 10,784.34 and 4,458.93

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Solution

The fourth proportional to 7,816.65, 10,784.34 and 4,458.93 is: 6,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.65 : 10,784.34 = 4,458.93 : x
  2. Step 2: Convert to fraction form
    7,816.65/10,784.34 = 4,458.93/x
  3. Step 3: Cross multiply
    7,816.65x = 10,784.34 × 4,458.93
  4. Step 4: Simplify right side
    7,816.65x = 48,086,617.16
  5. Step 5: Solve for x
    x = 48,086,617.16/7,816.65
  6. Step 6: Final answer
    x = 6,151.82

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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.