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Finding the Fourth Proportional to 10,430.66, 15,646.05 and 2,639.45

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Solution

The fourth proportional to 10,430.66, 15,646.05 and 2,639.45 is: 3,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.66 : 15,646.05 = 2,639.45 : x
  2. Step 2: Convert to fraction form
    10,430.66/15,646.05 = 2,639.45/x
  3. Step 3: Cross multiply
    10,430.66x = 15,646.05 × 2,639.45
  4. Step 4: Simplify right side
    10,430.66x = 41,296,888.44
  5. Step 5: Solve for x
    x = 41,296,888.44/10,430.66
  6. Step 6: Final answer
    x = 3,959.18

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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.