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Finding the Fourth Proportional to 7,813.65, 10,783.80 and 4,457.19

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Solution

The fourth proportional to 7,813.65, 10,783.80 and 4,457.19 is: 6,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.65 : 10,783.80 = 4,457.19 : x
  2. Step 2: Convert to fraction form
    7,813.65/10,783.80 = 4,457.19/x
  3. Step 3: Cross multiply
    7,813.65x = 10,783.80 × 4,457.19
  4. Step 4: Simplify right side
    7,813.65x = 48,065,445.52
  5. Step 5: Solve for x
    x = 48,065,445.52/7,813.65
  6. Step 6: Final answer
    x = 6,151.47

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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.