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Finding the Fourth Proportional to 11,501.01, 15,870.78 and 6,465.42

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Solution

The fourth proportional to 11,501.01, 15,870.78 and 6,465.42 is: 8,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.01 : 15,870.78 = 6,465.42 : x
  2. Step 2: Convert to fraction form
    11,501.01/15,870.78 = 6,465.42/x
  3. Step 3: Cross multiply
    11,501.01x = 15,870.78 × 6,465.42
  4. Step 4: Simplify right side
    11,501.01x = 102,611,258.43
  5. Step 5: Solve for x
    x = 102,611,258.43/11,501.01
  6. Step 6: Final answer
    x = 8,921.93

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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.