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Finding the Fourth Proportional to 7,066.25, 9,772.58 and 6,180.51

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Solution

The fourth proportional to 7,066.25, 9,772.58 and 6,180.51 is: 8,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.25 : 9,772.58 = 6,180.51 : x
  2. Step 2: Convert to fraction form
    7,066.25/9,772.58 = 6,180.51/x
  3. Step 3: Cross multiply
    7,066.25x = 9,772.58 × 6,180.51
  4. Step 4: Simplify right side
    7,066.25x = 60,399,580.51
  5. Step 5: Solve for x
    x = 60,399,580.51/7,066.25
  6. Step 6: Final answer
    x = 8,547.62

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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.