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Finding the Fourth Proportional to 7,547.90, 10,416.39 and 4,563.14

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Solution

The fourth proportional to 7,547.90, 10,416.39 and 4,563.14 is: 6,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.90 : 10,416.39 = 4,563.14 : x
  2. Step 2: Convert to fraction form
    7,547.90/10,416.39 = 4,563.14/x
  3. Step 3: Cross multiply
    7,547.90x = 10,416.39 × 4,563.14
  4. Step 4: Simplify right side
    7,547.90x = 47,531,445.86
  5. Step 5: Solve for x
    x = 47,531,445.86/7,547.90
  6. Step 6: Final answer
    x = 6,297.31

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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.