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Finding the Fourth Proportional to 10,916.58, 15,064.80 and 6,440.34

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Solution

The fourth proportional to 10,916.58, 15,064.80 and 6,440.34 is: 8,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.58 : 15,064.80 = 6,440.34 : x
  2. Step 2: Convert to fraction form
    10,916.58/15,064.80 = 6,440.34/x
  3. Step 3: Cross multiply
    10,916.58x = 15,064.80 × 6,440.34
  4. Step 4: Simplify right side
    10,916.58x = 97,022,434.03
  5. Step 5: Solve for x
    x = 97,022,434.03/10,916.58
  6. Step 6: Final answer
    x = 8,887.62

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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.