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Finding the Fourth Proportional to 11,585.48, 15,973.62 and 7,853

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Solution

The fourth proportional to 11,585.48, 15,973.62 and 7,853 is: 10,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.48 : 15,973.62 = 7,853 : x
  2. Step 2: Convert to fraction form
    11,585.48/15,973.62 = 7,853/x
  3. Step 3: Cross multiply
    11,585.48x = 15,973.62 × 7,853
  4. Step 4: Simplify right side
    11,585.48x = 125,440,837.86
  5. Step 5: Solve for x
    x = 125,440,837.86/11,585.48
  6. Step 6: Final answer
    x = 10,827.42

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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.