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Finding the Fourth Proportional to 10,139.04, 15,208.59 and 3,119

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Solution

The fourth proportional to 10,139.04, 15,208.59 and 3,119 is: 4,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.04 : 15,208.59 = 3,119 : x
  2. Step 2: Convert to fraction form
    10,139.04/15,208.59 = 3,119/x
  3. Step 3: Cross multiply
    10,139.04x = 15,208.59 × 3,119
  4. Step 4: Simplify right side
    10,139.04x = 47,435,592.21
  5. Step 5: Solve for x
    x = 47,435,592.21/10,139.04
  6. Step 6: Final answer
    x = 4,678.51

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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.