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Finding the Fourth Proportional to 11,278.51, 15,564.88 and 6,499.17

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Solution

The fourth proportional to 11,278.51, 15,564.88 and 6,499.17 is: 8,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.51 : 15,564.88 = 6,499.17 : x
  2. Step 2: Convert to fraction form
    11,278.51/15,564.88 = 6,499.17/x
  3. Step 3: Cross multiply
    11,278.51x = 15,564.88 × 6,499.17
  4. Step 4: Simplify right side
    11,278.51x = 101,158,826.52
  5. Step 5: Solve for x
    x = 101,158,826.52/11,278.51
  6. Step 6: Final answer
    x = 8,969.16

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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.