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Finding the Fourth Proportional to 10,635.71, 14,697.52 and 7,978.51

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Solution

The fourth proportional to 10,635.71, 14,697.52 and 7,978.51 is: 11,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.71 : 14,697.52 = 7,978.51 : x
  2. Step 2: Convert to fraction form
    10,635.71/14,697.52 = 7,978.51/x
  3. Step 3: Cross multiply
    10,635.71x = 14,697.52 × 7,978.51
  4. Step 4: Simplify right side
    10,635.71x = 117,264,196.92
  5. Step 5: Solve for x
    x = 117,264,196.92/10,635.71
  6. Step 6: Final answer
    x = 11,025.52

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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.