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Finding the Fourth Proportional to 10,187.28, 15,256.48 and 6,477.88

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Solution

The fourth proportional to 10,187.28, 15,256.48 and 6,477.88 is: 9,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.28 : 15,256.48 = 6,477.88 : x
  2. Step 2: Convert to fraction form
    10,187.28/15,256.48 = 6,477.88/x
  3. Step 3: Cross multiply
    10,187.28x = 15,256.48 × 6,477.88
  4. Step 4: Simplify right side
    10,187.28x = 98,829,646.66
  5. Step 5: Solve for x
    x = 98,829,646.66/10,187.28
  6. Step 6: Final answer
    x = 9,701.28

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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.