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Finding the Fourth Proportional to 10,490.52, 15,730.35 and 3,094.03

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Solution

The fourth proportional to 10,490.52, 15,730.35 and 3,094.03 is: 4,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.52 : 15,730.35 = 3,094.03 : x
  2. Step 2: Convert to fraction form
    10,490.52/15,730.35 = 3,094.03/x
  3. Step 3: Cross multiply
    10,490.52x = 15,730.35 × 3,094.03
  4. Step 4: Simplify right side
    10,490.52x = 48,670,174.81
  5. Step 5: Solve for x
    x = 48,670,174.81/10,490.52
  6. Step 6: Final answer
    x = 4,639.45

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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.