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Finding the Fourth Proportional to 7,030.64, 10,547.78 and 2,649.40

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Solution

The fourth proportional to 7,030.64, 10,547.78 and 2,649.40 is: 3,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.64 : 10,547.78 = 2,649.40 : x
  2. Step 2: Convert to fraction form
    7,030.64/10,547.78 = 2,649.40/x
  3. Step 3: Cross multiply
    7,030.64x = 10,547.78 × 2,649.40
  4. Step 4: Simplify right side
    7,030.64x = 27,945,288.33
  5. Step 5: Solve for x
    x = 27,945,288.33/7,030.64
  6. Step 6: Final answer
    x = 3,974.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.