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Finding the Fourth Proportional to 10,969.13, 15,137.02 and 6,254.93

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Solution

The fourth proportional to 10,969.13, 15,137.02 and 6,254.93 is: 8,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.13 : 15,137.02 = 6,254.93 : x
  2. Step 2: Convert to fraction form
    10,969.13/15,137.02 = 6,254.93/x
  3. Step 3: Cross multiply
    10,969.13x = 15,137.02 × 6,254.93
  4. Step 4: Simplify right side
    10,969.13x = 94,681,000.51
  5. Step 5: Solve for x
    x = 94,681,000.51/10,969.13
  6. Step 6: Final answer
    x = 8,631.59

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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.