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Finding the Fourth Proportional to 10,513.66, 15,774.69 and 4,274.15

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Solution

The fourth proportional to 10,513.66, 15,774.69 and 4,274.15 is: 6,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.66 : 15,774.69 = 4,274.15 : x
  2. Step 2: Convert to fraction form
    10,513.66/15,774.69 = 4,274.15/x
  3. Step 3: Cross multiply
    10,513.66x = 15,774.69 × 4,274.15
  4. Step 4: Simplify right side
    10,513.66x = 67,423,312.39
  5. Step 5: Solve for x
    x = 67,423,312.39/10,513.66
  6. Step 6: Final answer
    x = 6,412.93

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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.