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Finding the Fourth Proportional to 7,547.20, 10,415.00 and 4,189.84

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Solution

The fourth proportional to 7,547.20, 10,415.00 and 4,189.84 is: 5,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.20 : 10,415.00 = 4,189.84 : x
  2. Step 2: Convert to fraction form
    7,547.20/10,415.00 = 4,189.84/x
  3. Step 3: Cross multiply
    7,547.20x = 10,415.00 × 4,189.84
  4. Step 4: Simplify right side
    7,547.20x = 43,637,110.58
  5. Step 5: Solve for x
    x = 43,637,110.58/7,547.20
  6. Step 6: Final answer
    x = 5,781.90

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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.