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Finding the Fourth Proportional to 11,346.24, 15,656 and 6,564.40

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Solution

The fourth proportional to 11,346.24, 15,656 and 6,564.40 is: 9,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.24 : 15,656 = 6,564.40 : x
  2. Step 2: Convert to fraction form
    11,346.24/15,656 = 6,564.40/x
  3. Step 3: Cross multiply
    11,346.24x = 15,656 × 6,564.40
  4. Step 4: Simplify right side
    11,346.24x = 102,772,246.40
  5. Step 5: Solve for x
    x = 102,772,246.40/11,346.24
  6. Step 6: Final answer
    x = 9,057.82

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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.