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Finding the Fourth Proportional to 7,101.36, 10,655.64 and 4,788

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Solution

The fourth proportional to 7,101.36, 10,655.64 and 4,788 is: 7,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.36 : 10,655.64 = 4,788 : x
  2. Step 2: Convert to fraction form
    7,101.36/10,655.64 = 4,788/x
  3. Step 3: Cross multiply
    7,101.36x = 10,655.64 × 4,788
  4. Step 4: Simplify right side
    7,101.36x = 51,019,204.32
  5. Step 5: Solve for x
    x = 51,019,204.32/7,101.36
  6. Step 6: Final answer
    x = 7,184.43

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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.