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Finding the Fourth Proportional to 10,256.80, 14,154.39 and 5,541.08

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Solution

The fourth proportional to 10,256.80, 14,154.39 and 5,541.08 is: 7,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.80 : 14,154.39 = 5,541.08 : x
  2. Step 2: Convert to fraction form
    10,256.80/14,154.39 = 5,541.08/x
  3. Step 3: Cross multiply
    10,256.80x = 14,154.39 × 5,541.08
  4. Step 4: Simplify right side
    10,256.80x = 78,430,607.34
  5. Step 5: Solve for x
    x = 78,430,607.34/10,256.80
  6. Step 6: Final answer
    x = 7,646.69

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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.