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Finding the Fourth Proportional to 10,303.35, 15,439.04 and 7,146.95

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Solution

The fourth proportional to 10,303.35, 15,439.04 and 7,146.95 is: 10,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.35 : 15,439.04 = 7,146.95 : x
  2. Step 2: Convert to fraction form
    10,303.35/15,439.04 = 7,146.95/x
  3. Step 3: Cross multiply
    10,303.35x = 15,439.04 × 7,146.95
  4. Step 4: Simplify right side
    10,303.35x = 110,342,047.64
  5. Step 5: Solve for x
    x = 110,342,047.64/10,303.35
  6. Step 6: Final answer
    x = 10,709.34

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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.