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Finding the Fourth Proportional to 12,569.42, 17,345.85 and 7,856.39

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Solution

The fourth proportional to 12,569.42, 17,345.85 and 7,856.39 is: 10,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.42 : 17,345.85 = 7,856.39 : x
  2. Step 2: Convert to fraction form
    12,569.42/17,345.85 = 7,856.39/x
  3. Step 3: Cross multiply
    12,569.42x = 17,345.85 × 7,856.39
  4. Step 4: Simplify right side
    12,569.42x = 136,275,762.48
  5. Step 5: Solve for x
    x = 136,275,762.48/12,569.42
  6. Step 6: Final answer
    x = 10,841.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.