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Finding the Fourth Proportional to 11,490.86, 15,854.93 and 6,708.63

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Solution

The fourth proportional to 11,490.86, 15,854.93 and 6,708.63 is: 9,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.86 : 15,854.93 = 6,708.63 : x
  2. Step 2: Convert to fraction form
    11,490.86/15,854.93 = 6,708.63/x
  3. Step 3: Cross multiply
    11,490.86x = 15,854.93 × 6,708.63
  4. Step 4: Simplify right side
    11,490.86x = 106,364,825.50
  5. Step 5: Solve for x
    x = 106,364,825.50/11,490.86
  6. Step 6: Final answer
    x = 9,256.47

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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.