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Finding the Fourth Proportional to 10,468.18, 14,445.93 and 5,752.36

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Solution

The fourth proportional to 10,468.18, 14,445.93 and 5,752.36 is: 7,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.18 : 14,445.93 = 5,752.36 : x
  2. Step 2: Convert to fraction form
    10,468.18/14,445.93 = 5,752.36/x
  3. Step 3: Cross multiply
    10,468.18x = 14,445.93 × 5,752.36
  4. Step 4: Simplify right side
    10,468.18x = 83,098,161.13
  5. Step 5: Solve for x
    x = 83,098,161.13/10,468.18
  6. Step 6: Final answer
    x = 7,938.17

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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.