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Finding the Fourth Proportional to 10,438.47, 15,662.76 and 4,594.32

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Solution

The fourth proportional to 10,438.47, 15,662.76 and 4,594.32 is: 6,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.47 : 15,662.76 = 4,594.32 : x
  2. Step 2: Convert to fraction form
    10,438.47/15,662.76 = 4,594.32/x
  3. Step 3: Cross multiply
    10,438.47x = 15,662.76 × 4,594.32
  4. Step 4: Simplify right side
    10,438.47x = 71,959,731.52
  5. Step 5: Solve for x
    x = 71,959,731.52/10,438.47
  6. Step 6: Final answer
    x = 6,893.70

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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.