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Finding the Fourth Proportional to 7,547.51, 10,414.68 and 4,189.99

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Solution

The fourth proportional to 7,547.51, 10,414.68 and 4,189.99 is: 5,781.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.51 : 10,414.68 = 4,189.99 : x
  2. Step 2: Convert to fraction form
    7,547.51/10,414.68 = 4,189.99/x
  3. Step 3: Cross multiply
    7,547.51x = 10,414.68 × 4,189.99
  4. Step 4: Simplify right side
    7,547.51x = 43,637,405.05
  5. Step 5: Solve for x
    x = 43,637,405.05/7,547.51
  6. Step 6: Final answer
    x = 5,781.70

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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.