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Finding the Fourth Proportional to 7,813.53, 10,784.68 and 4,827.65

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Solution

The fourth proportional to 7,813.53, 10,784.68 and 4,827.65 is: 6,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.53 : 10,784.68 = 4,827.65 : x
  2. Step 2: Convert to fraction form
    7,813.53/10,784.68 = 4,827.65/x
  3. Step 3: Cross multiply
    7,813.53x = 10,784.68 × 4,827.65
  4. Step 4: Simplify right side
    7,813.53x = 52,064,655.07
  5. Step 5: Solve for x
    x = 52,064,655.07/7,813.53
  6. Step 6: Final answer
    x = 6,663.40

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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.