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Finding the Fourth Proportional to 10,646.84, 15,972.18 and 4,403.46

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Solution

The fourth proportional to 10,646.84, 15,972.18 and 4,403.46 is: 6,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.84 : 15,972.18 = 4,403.46 : x
  2. Step 2: Convert to fraction form
    10,646.84/15,972.18 = 4,403.46/x
  3. Step 3: Cross multiply
    10,646.84x = 15,972.18 × 4,403.46
  4. Step 4: Simplify right side
    10,646.84x = 70,332,753.86
  5. Step 5: Solve for x
    x = 70,332,753.86/10,646.84
  6. Step 6: Final answer
    x = 6,605.98

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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.