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Finding the Fourth Proportional to 10,603.64, 15,902.40 and 4,278.52

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Solution

The fourth proportional to 10,603.64, 15,902.40 and 4,278.52 is: 6,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.64 : 15,902.40 = 4,278.52 : x
  2. Step 2: Convert to fraction form
    10,603.64/15,902.40 = 4,278.52/x
  3. Step 3: Cross multiply
    10,603.64x = 15,902.40 × 4,278.52
  4. Step 4: Simplify right side
    10,603.64x = 68,038,736.45
  5. Step 5: Solve for x
    x = 68,038,736.45/10,603.64
  6. Step 6: Final answer
    x = 6,416.55

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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.