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Finding the Fourth Proportional to 7,547.66, 10,416.27 and 4,361.57

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Solution

The fourth proportional to 7,547.66, 10,416.27 and 4,361.57 is: 6,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.66 : 10,416.27 = 4,361.57 : x
  2. Step 2: Convert to fraction form
    7,547.66/10,416.27 = 4,361.57/x
  3. Step 3: Cross multiply
    7,547.66x = 10,416.27 × 4,361.57
  4. Step 4: Simplify right side
    7,547.66x = 45,431,290.74
  5. Step 5: Solve for x
    x = 45,431,290.74/7,547.66
  6. Step 6: Final answer
    x = 6,019.26

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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.