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Finding the Fourth Proportional to 10,415.30, 14,362.61 and 7,869.32

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Solution

The fourth proportional to 10,415.30, 14,362.61 and 7,869.32 is: 10,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.30 : 14,362.61 = 7,869.32 : x
  2. Step 2: Convert to fraction form
    10,415.30/14,362.61 = 7,869.32/x
  3. Step 3: Cross multiply
    10,415.30x = 14,362.61 × 7,869.32
  4. Step 4: Simplify right side
    10,415.30x = 113,023,916.83
  5. Step 5: Solve for x
    x = 113,023,916.83/10,415.30
  6. Step 6: Final answer
    x = 10,851.72

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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.