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Finding the Fourth Proportional to 10,645.66, 15,969.58 and 4,077.36

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Solution

The fourth proportional to 10,645.66, 15,969.58 and 4,077.36 is: 6,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.66 : 15,969.58 = 4,077.36 : x
  2. Step 2: Convert to fraction form
    10,645.66/15,969.58 = 4,077.36/x
  3. Step 3: Cross multiply
    10,645.66x = 15,969.58 × 4,077.36
  4. Step 4: Simplify right side
    10,645.66x = 65,113,726.71
  5. Step 5: Solve for x
    x = 65,113,726.71/10,645.66
  6. Step 6: Final answer
    x = 6,116.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.