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Finding the Fourth Proportional to 10,466.01, 14,442.71 and 5,750.01

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Solution

The fourth proportional to 10,466.01, 14,442.71 and 5,750.01 is: 7,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.01 : 14,442.71 = 5,750.01 : x
  2. Step 2: Convert to fraction form
    10,466.01/14,442.71 = 5,750.01/x
  3. Step 3: Cross multiply
    10,466.01x = 14,442.71 × 5,750.01
  4. Step 4: Simplify right side
    10,466.01x = 83,045,698.18
  5. Step 5: Solve for x
    x = 83,045,698.18/10,466.01
  6. Step 6: Final answer
    x = 7,934.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.