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Finding the Fourth Proportional to 7,646.19, 10,551.56 and 4,289.28

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Solution

The fourth proportional to 7,646.19, 10,551.56 and 4,289.28 is: 5,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.19 : 10,551.56 = 4,289.28 : x
  2. Step 2: Convert to fraction form
    7,646.19/10,551.56 = 4,289.28/x
  3. Step 3: Cross multiply
    7,646.19x = 10,551.56 × 4,289.28
  4. Step 4: Simplify right side
    7,646.19x = 45,258,595.28
  5. Step 5: Solve for x
    x = 45,258,595.28/7,646.19
  6. Step 6: Final answer
    x = 5,919.10

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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.