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Finding the Fourth Proportional to 10,618.13, 14,653.62 and 5,903.93

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Solution

The fourth proportional to 10,618.13, 14,653.62 and 5,903.93 is: 8,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.13 : 14,653.62 = 5,903.93 : x
  2. Step 2: Convert to fraction form
    10,618.13/14,653.62 = 5,903.93/x
  3. Step 3: Cross multiply
    10,618.13x = 14,653.62 × 5,903.93
  4. Step 4: Simplify right side
    10,618.13x = 86,513,873.46
  5. Step 5: Solve for x
    x = 86,513,873.46/10,618.13
  6. Step 6: Final answer
    x = 8,147.75

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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.