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Finding the Fourth Proportional to 11,501.87, 15,873.93 and 6,466.28

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Solution

The fourth proportional to 11,501.87, 15,873.93 and 6,466.28 is: 8,924.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.87 : 15,873.93 = 6,466.28 : x
  2. Step 2: Convert to fraction form
    11,501.87/15,873.93 = 6,466.28/x
  3. Step 3: Cross multiply
    11,501.87x = 15,873.93 × 6,466.28
  4. Step 4: Simplify right side
    11,501.87x = 102,645,196.71
  5. Step 5: Solve for x
    x = 102,645,196.71/11,501.87
  6. Step 6: Final answer
    x = 8,924.22

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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.