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Finding the Fourth Proportional to 11,300.24, 15,594.14 and 6,264.28

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Solution

The fourth proportional to 11,300.24, 15,594.14 and 6,264.28 is: 8,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.24 : 15,594.14 = 6,264.28 : x
  2. Step 2: Convert to fraction form
    11,300.24/15,594.14 = 6,264.28/x
  3. Step 3: Cross multiply
    11,300.24x = 15,594.14 × 6,264.28
  4. Step 4: Simplify right side
    11,300.24x = 97,686,059.32
  5. Step 5: Solve for x
    x = 97,686,059.32/11,300.24
  6. Step 6: Final answer
    x = 8,644.60

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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.