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Finding the Fourth Proportional to 7,742.40, 11,615.04 and 2,547.84

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Solution

The fourth proportional to 7,742.40, 11,615.04 and 2,547.84 is: 3,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.40 : 11,615.04 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    7,742.40/11,615.04 = 2,547.84/x
  3. Step 3: Cross multiply
    7,742.40x = 11,615.04 × 2,547.84
  4. Step 4: Simplify right side
    7,742.40x = 29,593,263.51
  5. Step 5: Solve for x
    x = 29,593,263.51/7,742.40
  6. Step 6: Final answer
    x = 3,822.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.