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Finding the Fourth Proportional to 10,590.47, 15,875.38 and 5,042.32

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Solution

The fourth proportional to 10,590.47, 15,875.38 and 5,042.32 is: 7,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.47 : 15,875.38 = 5,042.32 : x
  2. Step 2: Convert to fraction form
    10,590.47/15,875.38 = 5,042.32/x
  3. Step 3: Cross multiply
    10,590.47x = 15,875.38 × 5,042.32
  4. Step 4: Simplify right side
    10,590.47x = 80,048,760.56
  5. Step 5: Solve for x
    x = 80,048,760.56/10,590.47
  6. Step 6: Final answer
    x = 7,558.57

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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.