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Finding the Fourth Proportional to 12,870.32, 17,762.54 and 7,837.49

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Solution

The fourth proportional to 12,870.32, 17,762.54 and 7,837.49 is: 10,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.32 : 17,762.54 = 7,837.49 : x
  2. Step 2: Convert to fraction form
    12,870.32/17,762.54 = 7,837.49/x
  3. Step 3: Cross multiply
    12,870.32x = 17,762.54 × 7,837.49
  4. Step 4: Simplify right side
    12,870.32x = 139,213,741.46
  5. Step 5: Solve for x
    x = 139,213,741.46/12,870.32
  6. Step 6: Final answer
    x = 10,816.65

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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.