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Finding the Fourth Proportional to 10,466.79, 14,445.08 and 5,751.98

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Solution

The fourth proportional to 10,466.79, 14,445.08 and 5,751.98 is: 7,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.79 : 14,445.08 = 5,751.98 : x
  2. Step 2: Convert to fraction form
    10,466.79/14,445.08 = 5,751.98/x
  3. Step 3: Cross multiply
    10,466.79x = 14,445.08 × 5,751.98
  4. Step 4: Simplify right side
    10,466.79x = 83,087,710.27
  5. Step 5: Solve for x
    x = 83,087,710.27/10,466.79
  6. Step 6: Final answer
    x = 7,938.22

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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.