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Finding the Fourth Proportional to 7,547.25, 10,414.80 and 4,360.44

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Solution

The fourth proportional to 7,547.25, 10,414.80 and 4,360.44 is: 6,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.25 : 10,414.80 = 4,360.44 : x
  2. Step 2: Convert to fraction form
    7,547.25/10,414.80 = 4,360.44/x
  3. Step 3: Cross multiply
    7,547.25x = 10,414.80 × 4,360.44
  4. Step 4: Simplify right side
    7,547.25x = 45,413,110.51
  5. Step 5: Solve for x
    x = 45,413,110.51/7,547.25
  6. Step 6: Final answer
    x = 6,017.17

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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.