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Finding the Fourth Proportional to 7,642.67, 10,547.96 and 4,240.44

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Solution

The fourth proportional to 7,642.67, 10,547.96 and 4,240.44 is: 5,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.67 : 10,547.96 = 4,240.44 : x
  2. Step 2: Convert to fraction form
    7,642.67/10,547.96 = 4,240.44/x
  3. Step 3: Cross multiply
    7,642.67x = 10,547.96 × 4,240.44
  4. Step 4: Simplify right side
    7,642.67x = 44,727,973.36
  5. Step 5: Solve for x
    x = 44,727,973.36/7,642.67
  6. Step 6: Final answer
    x = 5,852.40

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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.