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Finding the Fourth Proportional to 10,466.43, 15,761.55 and 7,565.01

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Solution

The fourth proportional to 10,466.43, 15,761.55 and 7,565.01 is: 11,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.43 : 15,761.55 = 7,565.01 : x
  2. Step 2: Convert to fraction form
    10,466.43/15,761.55 = 7,565.01/x
  3. Step 3: Cross multiply
    10,466.43x = 15,761.55 × 7,565.01
  4. Step 4: Simplify right side
    10,466.43x = 119,236,283.37
  5. Step 5: Solve for x
    x = 119,236,283.37/10,466.43
  6. Step 6: Final answer
    x = 11,392.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.