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Finding the Fourth Proportional to 10,025.93, 15,038.83 and 7,836.50

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Solution

The fourth proportional to 10,025.93, 15,038.83 and 7,836.50 is: 11,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.93 : 15,038.83 = 7,836.50 : x
  2. Step 2: Convert to fraction form
    10,025.93/15,038.83 = 7,836.50/x
  3. Step 3: Cross multiply
    10,025.93x = 15,038.83 × 7,836.50
  4. Step 4: Simplify right side
    10,025.93x = 117,851,752.11
  5. Step 5: Solve for x
    x = 117,851,752.11/10,025.93
  6. Step 6: Final answer
    x = 11,754.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.