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Finding the Fourth Proportional to 10,492, 14,478.96 and 5,776.26

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Solution

The fourth proportional to 10,492, 14,478.96 and 5,776.26 is: 7,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492 : 14,478.96 = 5,776.26 : x
  2. Step 2: Convert to fraction form
    10,492/14,478.96 = 5,776.26/x
  3. Step 3: Cross multiply
    10,492x = 14,478.96 × 5,776.26
  4. Step 4: Simplify right side
    10,492x = 83,634,237.49
  5. Step 5: Solve for x
    x = 83,634,237.49/10,492
  6. Step 6: Final answer
    x = 7,971.24

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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.