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Finding the Fourth Proportional to 7,547.90, 10,416.21 and 4,563.20

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Solution

The fourth proportional to 7,547.90, 10,416.21 and 4,563.20 is: 6,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.90 : 10,416.21 = 4,563.20 : x
  2. Step 2: Convert to fraction form
    7,547.90/10,416.21 = 4,563.20/x
  3. Step 3: Cross multiply
    7,547.90x = 10,416.21 × 4,563.20
  4. Step 4: Simplify right side
    7,547.90x = 47,531,249.47
  5. Step 5: Solve for x
    x = 47,531,249.47/7,547.90
  6. Step 6: Final answer
    x = 6,297.28

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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.