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Finding the Fourth Proportional to 10,466.80, 14,445.10 and 5,752.06

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Solution

The fourth proportional to 10,466.80, 14,445.10 and 5,752.06 is: 7,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.80 : 14,445.10 = 5,752.06 : x
  2. Step 2: Convert to fraction form
    10,466.80/14,445.10 = 5,752.06/x
  3. Step 3: Cross multiply
    10,466.80x = 14,445.10 × 5,752.06
  4. Step 4: Simplify right side
    10,466.80x = 83,089,081.91
  5. Step 5: Solve for x
    x = 83,089,081.91/10,466.80
  6. Step 6: Final answer
    x = 7,938.35

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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.