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Finding the Fourth Proportional to 10,598.14, 15,894.18 and 4,273

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Solution

The fourth proportional to 10,598.14, 15,894.18 and 4,273 is: 6,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.14 : 15,894.18 = 4,273 : x
  2. Step 2: Convert to fraction form
    10,598.14/15,894.18 = 4,273/x
  3. Step 3: Cross multiply
    10,598.14x = 15,894.18 × 4,273
  4. Step 4: Simplify right side
    10,598.14x = 67,915,831.14
  5. Step 5: Solve for x
    x = 67,915,831.14/10,598.14
  6. Step 6: Final answer
    x = 6,408.28

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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.