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Finding the Fourth Proportional to 7,603.87, 10,470.45 and 6,114.28

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Solution

The fourth proportional to 7,603.87, 10,470.45 and 6,114.28 is: 8,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.87 : 10,470.45 = 6,114.28 : x
  2. Step 2: Convert to fraction form
    7,603.87/10,470.45 = 6,114.28/x
  3. Step 3: Cross multiply
    7,603.87x = 10,470.45 × 6,114.28
  4. Step 4: Simplify right side
    7,603.87x = 64,019,263.03
  5. Step 5: Solve for x
    x = 64,019,263.03/7,603.87
  6. Step 6: Final answer
    x = 8,419.30

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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.