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Finding the Fourth Proportional to 10,613.52, 14,646.84 and 5,833.92

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Solution

The fourth proportional to 10,613.52, 14,646.84 and 5,833.92 is: 8,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.52 : 14,646.84 = 5,833.92 : x
  2. Step 2: Convert to fraction form
    10,613.52/14,646.84 = 5,833.92/x
  3. Step 3: Cross multiply
    10,613.52x = 14,646.84 × 5,833.92
  4. Step 4: Simplify right side
    10,613.52x = 85,448,492.81
  5. Step 5: Solve for x
    x = 85,448,492.81/10,613.52
  6. Step 6: Final answer
    x = 8,050.91

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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.