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Finding the Fourth Proportional to 7,648.25, 10,552.55 and 4,417.25

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Solution

The fourth proportional to 7,648.25, 10,552.55 and 4,417.25 is: 6,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.25 : 10,552.55 = 4,417.25 : x
  2. Step 2: Convert to fraction form
    7,648.25/10,552.55 = 4,417.25/x
  3. Step 3: Cross multiply
    7,648.25x = 10,552.55 × 4,417.25
  4. Step 4: Simplify right side
    7,648.25x = 46,613,176.64
  5. Step 5: Solve for x
    x = 46,613,176.64/7,648.25
  6. Step 6: Final answer
    x = 6,094.62

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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.