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Finding the Fourth Proportional to 10,460, 14,436.08 and 6,044

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Solution

The fourth proportional to 10,460, 14,436.08 and 6,044 is: 8,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460 : 14,436.08 = 6,044 : x
  2. Step 2: Convert to fraction form
    10,460/14,436.08 = 6,044/x
  3. Step 3: Cross multiply
    10,460x = 14,436.08 × 6,044
  4. Step 4: Simplify right side
    10,460x = 87,251,667.52
  5. Step 5: Solve for x
    x = 87,251,667.52/10,460
  6. Step 6: Final answer
    x = 8,341.46

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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.