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Finding the Fourth Proportional to 10,088.00, 15,134.42 and 3,162.50

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Solution

The fourth proportional to 10,088.00, 15,134.42 and 3,162.50 is: 4,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.00 : 15,134.42 = 3,162.50 : x
  2. Step 2: Convert to fraction form
    10,088.00/15,134.42 = 3,162.50/x
  3. Step 3: Cross multiply
    10,088.00x = 15,134.42 × 3,162.50
  4. Step 4: Simplify right side
    10,088.00x = 47,862,511.77
  5. Step 5: Solve for x
    x = 47,862,511.77/10,088.00
  6. Step 6: Final answer
    x = 4,744.50

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Why These Related Problems?

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