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Finding the Fourth Proportional to 10,741.84, 14,823.84 and 6,026.40

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Solution

The fourth proportional to 10,741.84, 14,823.84 and 6,026.40 is: 8,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.84 : 14,823.84 = 6,026.40 : x
  2. Step 2: Convert to fraction form
    10,741.84/14,823.84 = 6,026.40/x
  3. Step 3: Cross multiply
    10,741.84x = 14,823.84 × 6,026.40
  4. Step 4: Simplify right side
    10,741.84x = 89,334,389.38
  5. Step 5: Solve for x
    x = 89,334,389.38/10,741.84
  6. Step 6: Final answer
    x = 8,316.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.